Question

Solve the compound inequality.

Answer 1

Option D:

$x$

Solution:

Given compound inequality:

$6-x>15 \text { or } 2 x-9 \geq 3$

Let us first solve $6-x>15$.

Subtract 6 from both sides.

$6-x-6>15-6$

$-x>9$

To reverse the inequality multiply by -1  on both sides.

$(-x)(-1)$

$x$

Now solve the next inequality $2 x-9 \geq 3$.

Add 9 on both sides.

$2 x-9+9 \geq 3+9$

$2 x \geq 12$

Divide by 2 on both sides.

$\frac{2 x}{2} \geq \frac{12}{2}$

$x \geq 6$

Combine the inequality.

$x$

Option D is the correct answer.