Question

Solve for the x in the inequality 6(2−6x)≤4−35x 6 ( 2 − 6 x ) ≤ 4 − 35 x .

Answer 1

Answer:

8 ≤ x

Step-by-step explanation:

6(2 − 6x) ≤ 4 − 35x

Expand bracket;

12 - 36x ≤ 4 − 35x

Add 36x to both sides to get;

12 ≤ 4 + x

Subtract 4 from both sides to get;

8 ≤ x

Answer 2

Hi student, let me help you out! :)

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We are asked to solve the inequality 6(2-6x)≤4-35x.

$\triangle~\fbox{\bf{KEY:}}\star$

• $\star$ We need to get x all by itself.

First, we can use the distributive property and distribute 6:

$\star\large\pmb{12-36x\leq4-35x}$

Now, add 35x to both sides:

$\star\large\pmb{12-x\leq 4}$

And now, subtract 12 from both sides:

$\star\large\pmb{-x\leq-8}$

Divide both sides by -1 and watch what happens:

$\star\large\pmb{x\geq 8}$

Have you noticed that the inequality sign changed from "less than" to "greater than"?

Well, that happened because we divided both sides by a negative number, -1.

Thus, $\star~\large\pmb{x\geq 8}$

Hope this helps you out! :D

Ask in comments if any queries arise.

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