-4x≤-16 or 2x-18≥-4

Kenadi Smith

Kenadi Smith

Answered question

2022-08-29

-4x≤-16 or 2x-18≥-4

Answer & Explanation

RizerMix

RizerMix

Expert2023-05-28Added 656 answers

To solve the compound inequality 4x16 or 2x184, we can solve each inequality separately and then combine the solutions.
Let's start with the first inequality:
4x16.
To isolate x, we divide both sides of the inequality by 4. Since we are dividing by a negative number, the direction of the inequality sign will be reversed:
4x4164.
Simplifying, we have:
x4.
Now, let's solve the second inequality:
2x184.
We can add 18 to both sides to isolate 2x:
2x18+184+18.
Simplifying, we have:
2x14.
Finally, we can divide both sides of the inequality by 2 to solve for x:
2x2142.
Simplifying further, we obtain:
x7.
Combining the solutions from both inequalities, we have:
x4 or x7.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Algebra

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?