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# Halp plss

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

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

Mar 21, 2020

### 3+0 Answers

#1
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Hey guest!

1. Let's start by expanding out first.

We get:

$$-4(x+4) > x+ 7 = -4x-16 >x+7$$

Adding 4x on both sides and subtracting 7, we get:

$$-23>5x$$

Dividing by 5, we get:

$$-23/5>x$$

That gives us an interval of:

$$(-\infty,-23/5)$$

2. Similar to the last problem, let's just first add like terms to get a constraint on x.

We're given:

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

Adding 5 and x on both sides, we get:

$$3x \leq 17$$

Dividing by 3 on both sides, we get:

$$x \leq 17/3$$

This gives us the interval of:

$$(-\infty,17/3]$$ with a square bracket on 17/3 to indicate its inclusion in the interval(remember, round parentheses are exclusive!)

Mar 21, 2020
#2
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Thank you very much!!! You are very good at this!!!!

Mar 21, 2020
#3
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any time!

Mar 21, 2020