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Solve for x. 9≤17−4x Enter your answer, as an inequality, in the box.

User Chantee
by
6.7k points

2 Answers

2 votes

Answer: x
\leq2

Explanation:

User Tatactic
by
7.6k points
2 votes
Hello!

First, let's write the problem.

9\le \:17-4x
We are going to switch sides in order to have the x on the left side.

17-4x\ge \:9
Subtract 17 from both sides.

17-4x-17\ge \:9-17

-4x\ge \:-8
We have two options, divide both sides by -4, or multiply both sides by -1 in order to reverse the inequality. Let's try the second option.

\left(-4x\right)\left(-1\right)\le\left(-8\right)\left(-1\right)

4x\le \:8
Divide both sides by 4.

(4x)/(4)\le (8)/(4)

Our final answer would be,

x\le \:2

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish
User Schuyler
by
7.1k points