Question

Solve for x.

Answer 1

Answer:

$\text{The solution is }x \leq -1\text{ or }x > 6$

Step-by-step explanation:

Given the two inequalities  

$5x - 10 > 20\text{ or }5x - 10 \leq -15$

we have to solve the above two for x.

$5x - 10 > 20$

Adding 10 on both sides

$5x>20+10$

$5x>30$

Divide throughout by 5, we get

$x>\frac{30}{5}=6$

$\text{second inequality:}\thinspace 5x - 10 \leq -15$

$5x - 10 \leq -15$

Adding 10 on both sides

$5x \leq -15+10$

$5x\leq -5$

$x \leq -1$

hence, the solution is

$x \leq -1\text{ or }x > 6$

which is required solution.

Option D is correct.

Answer 2

I'm going to go with letter D.