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2(x-3)-8< -4 I need a explanation and the answer please.

User Euan Smith
by
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1 Answer

3 votes

Answer:

The solution to the inequality is:


x<5

The number line solution graph is also attached below.

Explanation:

Given the inequality


2(x-3)-8< -4

Add 8 to both sides


2\left(x-3\right)-8+8<-4+8


2\left(x-3\right)<4

Divide both sides by 2


(2\left(x-3\right))/(2)<(4)/(2)


x-3<2

Add 3 to both sides


x-3+3<2+3


x<5

Thus, the solution to the inequality is:


x<5

The number line solution graph is also attached below.

2(x-3)-8< -4 I need a explanation and the answer please.-example-1
User Jmng
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5.0k points