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# two interval notation questions

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

Solve the inequality $$-4(x + 4) > x + 7$$ Give your answer as an interval.

have fun!

Jul 1, 2020

#1
+500
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plz post a question at a time

Jul 1, 2020
#2
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It's just two, not a big deal in my opinion. Any more than that would be an overload.

gwenspooner85  Jul 1, 2020
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1.

$$2x-5\le-x+12\\ =3x\le17\\ =x\ge\frac{17}{3}\\ \boxed{x\in(-\infty, \frac{17}{3}]}$$

2. $$-4(x+4)>x+7\\ =-4x-16>x+7\\ =5x<-23\\ x<-\frac{23}{5}\\ \boxed{x\in(-\infty, -\frac{23}{5})}$$

Jul 1, 2020
#4
+107
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first one is right, but the second one is wrong. Try again!

Jul 1, 2020
#5
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I reworked it but nothing was wrong...?

gwenspooner85  Jul 1, 2020
#6
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Oh you're right! I put a bracket on the back instead of a close paranthesis. Sorry!

Jul 1, 2020