Asstallings707
Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

What value of x is in the solution set of
[tex]3(x - 4) \geqslant 5x + 2[/tex]
A. -10
B. -5
C. 5
D. 10​

Sagot :

facundo3141592

Answer:

Option A: x = -10 is a solution.

Step-by-step explanation:

Here we have the inequality:

3*(x - 4) ≥ 5*x + 2

We can solve this for x as follows:

first, expand the left side:

3x - 12 ≥ 5x + 2

now, move all the terms with x to one side, and the other terms to the other side:

-12 - 2 ≥ 5x - 3x

-14 ≥ 2x

now let's divide both sides by 2

-14/2 ≥ 2x/2

-7 ≥ x

So the solutions are values smaller than -7

In the options, the only value smaller than -7 is the first one:

A: -10

Then the correct option is A.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.