Question

Could x = -5 be a solution to the inequality -6 < 3x + 9 < 21?

Answer 1

So you think that x = -5 is the solution for the inequality? Let's check it out.

(Check)

- Substitute x = -5 in the inequality

$-6$

If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.

Now let's solve the inequality. Separate the inequality by parts.

$\left \{ {{-6$

Therefore, the inequality is true only when x > -5 or x < 4.

(Check)

- Substitute x = -4 in the inequality.

$-6$

The inequality is true for first case.

- Substitute x = 3 in the inequality

$-6$

The inequality is true for second case.

So the answer for inequality is -5 < x < 4

That means only {-4, -3, -2, ..., 3} can make the inequality true.

Answer 2

Answer:

x=−5<x<4

Step-by-step explanation: