Question

show the following inequalities on a number line x^-4 and x^-2
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Answer 1

Step-by-step explanation:

Given, 3(1−x)<2(x+4)

⇒3−3x<2x+8

⇒3−8<2x+3x

⇒−5<5x

⇒x>−1orx∈(−1,∞)

Blue line is y=3−3x and red line is y=2x+8

Both line intersect at x=−1 and It is clearly observed from graph that

For x>−1⇒2x+8>3−3x