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# Sorry I still have so many questions.

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Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Mar 19, 2021

#1
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similar to simplifying equations, we can add and subtract things to both sides in inequalities.

so for this inequality, let's start by adding x to both sides.

$$2x + x - 5 \le 12$$

now let's add five to both sides.

$$3x \le 12 + 5$$

$$3x \le 17$$

let's divide both sides by 3.

$$x \le \frac{17}{3}$$

so, in interval notation, the answer would be:

$$(-∞, \frac{17}{3}]$$

hope this helped! please let me know if you are confused about anything i did :)

Mar 19, 2021
edited by idyllic  Mar 19, 2021
#2
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That is correct. Thank you.

Immaguest  Mar 21, 2021