Question

-2(x-7)<-10 graph line?

Answer 1

x < 12

Solution:

Given expression is –2(x – 7) < –10.

Let us first solve the inequality and find the value of x.

⇒ –2(x – 7) < –10

⇒ –2x + 14 < –10

Subtract 14 on both sides of the expression, we get

⇒ –2x + 14 – 14 < –10 – 14

⇒ –2x < –24

Divide by –2 on both sides of the expression, we get

⇒ x < 12

Hence the value of x is less than 12.

The image of the graph is attached below.