Question

Show the following inequality on a number line: a. x/2<2

Answer 1

Answer:

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