Question

Solve the inequality: 7x - 35 < 2(x - 5).

a) x < 3
b) x > 3
c) x < 8
d) x > 8

Answer 1

To solve the inequality 7x - 35 < 2(x - 5), we simplify step by step to arrive at the solution x < 5, which is not listed among the given answer choices.

Step-by-step explanation:

To solve the inequality 7x - 35 < 2(x - 5), we need to simplify and solve for x. First, distribute the 2 on the right-hand side of the inequality:

7x - 35 < 2x - 10

Next, we subtract 2x from both sides to get the x terms on one side and the constants on the other:

5x - 35 < -10

Then, we add 35 to both sides to isolate the term with x:

5x < 25

Finally, we divide both sides by 5 to solve for x:

x < 5

Therefore, the solution to the inequality is x < 5, which is not represented in the choices provided. So, there might be a typo or mistake in the options given.