Chapter 2: Q63. (page 80)

Solve each inequality. (Lessons 1-5 and 1-6)
63. $2 (r - 4) + 5 \geq 9$

Short Answer

Expert verified

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

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.

– List the given data

The given inequality is $2 (r - 4) + 5 \geq 9$ .

– Solve the inequality

$2 (r - 4) + 5 \geq 9$ (Given inequality)

$2 (r - 4) + 5 - 5 \geq 9 - 5$ (Subtract 5 from both sides of the inequality)

$2 (r - 4) \geq 4$ (Simplify)

$\frac{2 (r - 4)}{2} \geq \frac{4}{2}$ (Divide both sides of the inequality by 2)

$r - 4 \geq 2$ (Simplify)

$r - 4 + 4 \geq 2 + 4$ (Add 4 to both sides of the inequality)

$r \geq 6$ (Simplify)

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

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Solve each inequality. (Lessons 1-5 and 1-6)
63. $2 (r - 4) + 5 \geq 9$

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)63. 2r-4+5≥9

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

Pure Maths

Mechanics Maths

Logic and Functions

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve each inequality. (Lessons 1-5 and 1-6)
63. $2 (r - 4) + 5 \geq 9$