Question

Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6

Answer 1

Answer:

$\{a$ ∈ $R\ -21 \le a \le \infty \}$ --- set builder

$[-21,\infty)$ --- interval notation

Step-by-step explanation:

Given

$-3a - 15 \le -2a + 6$

Required

Solve

Collect like terms

$-3a + 2a \le 15 + 6$

$-a \le 21$

Divide by -1

$a \ge - 21$

Rewrite as:

$-21 \le a$

Using set builder

$\{a$ ∈ $R\ -21 \le a \le \infty \}$

Using interval notation, we have:

$[-21,\infty)$