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# Inequality

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

Nov 13, 2022

#1
+17
+1

$$(-\infty,-1)$$

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Nov 13, 2022
#2
0

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

$$-4x-16>5x-7$$

$$-9x-16>-7$$

$$-9x>9$$

$$x<-1$$

In interval notation, the inequality above is $$(-\infty,-1)$$. Hope this helped :)

Nov 13, 2022