Chapter 2: Q62. (page 80)

Solve each inequality. (Lessons 1-5 and 1-6)
62. $- 4 x + 7 \leq 31$

Short Answer

Expert verified

The solution of the given inequality is $x \geq - 6$ .

Step by step solution

– State the concept

Solving an inequality means modifying the inequality so that the variable is isolated. It is essentially finding the range of values of the variable for which the given inequality is satisfied.

Dividing or multiplying the terms of an inequality by a negative number changes the inequality to its opposite one.

– List the given data

The given inequality is $- 4 x + 7 \leq 31$ .

– Solve the inequality

$- 4 x + 7 \leq 31$ (Given inequality)

$- 4 x + 7 - 7 \leq 31 - 7$ (Subtract 7 from both sides of the inequality)

$- 4 x \leq 24$ (Simplify)

$\frac{- 4 x}{- 4} \geq \frac{24}{- 4}$ (Divide both sides of the inequality by -4)

$x \geq - 6$ (Simplify)

So, the solution of the given inequality is $x \geq - 6$ .

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Solve each inequality. (Lessons 1-5 and 1-6)
62. $- 4 x + 7 \leq 31$

Short Answer

Step by step solution

– State the concept

– List the given data

– Solve the inequality

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Solve each inequality. (Lessons 1-5 and 1-6)62. -4x+7≤31

Short Answer

Step by step solution

– State the concept

– List the given data

– Solve the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Discrete Mathematics

Calculus

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve each inequality. (Lessons 1-5 and 1-6)
62. $- 4 x + 7 \leq 31$