Math Inequalities Worksheet

📆 Updated: 1 Jan 1970
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🔖 Category: Math

Are you a middle or high school student struggling with math inequalities? Look no further! In this blog post, we will explore the importance of worksheets as a valuable tool for practicing and mastering this essential mathematical concept. Whether you are an aspiring mathematician, a diligent student, or a parent seeking additional resources for your child, this post will provide insights into how worksheets can help solidify your understanding of math inequalities.



Table of Images 👆

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  2. 8th Grade Math Worksheets Ratios
  3. Solving Linear Inequalities Worksheets
  4. Fifth Grade Math Worksheets
  5. 6th Grade Math Worksheets Algebra
  6. 1 Step Word Problems Worksheets
  7. Solving Equations Worksheets 7th Grade Math
  8. Convert Decimal to Fraction Worksheet
  9. One Step Equation Word Problems Worksheets
  10. 4th Grade Word Problems with Fractions
8th Grade Math Worksheets Geometry
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8th Grade Math Worksheets Ratios
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Solving Linear Inequalities Worksheets
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Fifth Grade Math Worksheets
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6th Grade Math Worksheets Algebra
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1 Step Word Problems Worksheets
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Solving Equations Worksheets 7th Grade Math
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Convert Decimal to Fraction Worksheet
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One Step Equation Word Problems Worksheets
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4th Grade Word Problems with Fractions
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Solve the inequality 2x + 5 < 10.

To solve the inequality 2x + 5 < 10, we first subtract 5 from both sides to isolate the variable. So, 2x < 5. Then, divide both sides by 2 to get x < 2.5. Therefore, the solution to the inequality 2x + 5 < 10 is x < 2.5.

Graph the solution set of the inequality 3x - 2 > 7.

To graph the solution set of the inequality 3x - 2 > 7, first, we need to rewrite the inequality in slope-intercept form. Adding 2 to both sides and then dividing by 3, we get x > 3. This means all values of x that are greater than 3 satisfy the inequality. So, on a number line, we would shade the region to the right of 3 to indicate the solution set.

Determine if the inequality 4x - 3 ? 5 is true for x = 2.

Substitute x with 2 in the inequality 4x - 3 ? 5, to get 4(2) - 3 ? 5, which simplifies to 8 - 3 ? 5, then further simplifies to 5 ? 5. Since 5 is equal to 5, the inequality 4x - 3 ? 5 is true for x = 2.

Solve the inequality 8 - 3x ? 14.

To solve the inequality 8 - 3x ? 14, we first isolate the variable by subtracting 8 from both sides to get -3x ? 6. Then, we divide by -3 to solve for x which gives x ? -2. Therefore, the solution to the inequality is x is less than or equal to -2.

Graph the solution set of the inequality 2x + 3 ? 4x - 5.

To graph the solution set of the inequality 2x + 3 ? 4x - 5, we first simplify the inequality to get -2x ? -8. Dividing by -2, we get x ? 4. This means the solution set includes all real numbers greater than or equal to 4. Graphically, you would represent this as a shaded region to the right of a vertical line at x = 4, including the line itself.

Determine if the inequality 9x - 4 > 7x + 3 is true when x = 2.

Substitute x = 2 into the inequality to solve it. We get 9(2) - 4 > 7(2) + 3 which simplifies to 18 - 4 > 14 + 3. This further simplifies to 14 > 17 which is false. Therefore, the inequality 9x - 4 > 7x + 3 is not true when x = 2.

Solve the inequality 3(2x - 1) < 9 - 2x.

To solve the inequality 3(2x - 1) < 9 - 2x, first distribute the 3 on the left side which gives 6x - 3 < 9 - 2x. Then, add 2x to both sides to simplify further to 8x - 3 < 9. Next, add 3 to both sides to isolate x which gives 8x < 12. Finally, divide by 8 on both sides to find x < 1.5 as the solution to the inequality.

Graph the solution set of the inequality x/2 + 3 > 2 - x.

To graph the solution set of the inequality x/2 + 3 > 2 - x, you can first simplify it by adding x to both sides to get x/2 + x + 3 > 2. Then, multiplying everything by 2 to get rid of the fraction gives x + 2x + 6 > 4. Combining like terms gives 3x + 6 > 4. Subtracting 6 from both sides yields 3x > -2. Finally, dividing by 3 gives x>-2/3. Therefore, the solution set is all x-values greater than -2/3 on the number line.

Determine if the inequality 5 - 2x < 3x + 1 is true for x = -1.

Substitute x = -1 into the inequality: 5 - 2(-1) < 3(-1) + 1. This simplifies to 5 + 2 < -3 +1, which further simplifies to 7 < -2. Since 7 is not less than -2, the inequality is false for x = -1.

Solve the inequality 4(x - 5) ? 3x + 2.

To solve the inequality 4(x - 5) ? 3x + 2, first distribute the 4 on the left side to get 4x - 20 ? 3x + 2. Next, subtract 3x from both sides to get x - 20 ? 2. Lastly, add 20 to both sides to isolate x, resulting in x ? 22. Therefore, the solution to the inequality is x is less than or equal to 22.

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