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.
