Mathematics: Solving a compound inequality. check all that apply.

Solving a compound inequality. check all that apply.

Ответ:

tqjb2007

11.02.2022

Mathematics

The solutions are:

-28.25, -14.5, -2.25

Step-by-step explanation:

Given compound inequality is:

$-17.5\leq \frac{2x+4}{3}$

The compound inequalities are broken down into two inequalities to find the solution

The two inequalities will be:

$\frac{2x+4}{3} \geq -17.5$ AND $\frac{2x+4}{3}$

Solving both inequalities one by one

$\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25$

The solution is:

-28.25 ≤ x < 24.25

We have to see which options lie in the solution range.

The solutions are:

-28.25, -14.5, -2.25

0,0(0 оценок)

Ответ:

evanwall91

24.04.2021

Mathematics

Graph A

Step-by-step explanation:

All I did was graph the equation in a scientific calculator.

I will upload a picture of graphing it in desmos

0,0(0 оценок)

Solving a compound inequality. check all that apply.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question