Question

Whichnumber line  best represents the solution to the following inequality? (2 points) x - 7 > 17

Answer 1

To solve the inequality x - 7 > 17, we need to isolate x on one side of the inequality symbol.

x - 7 > 17

Adding 7 to both sides of the inequality:

x - 7 + 7 > 17 + 7
x > 24

Therefore, x must be greater than 24.

The number line that best represents the solution to the inequality x - 7 > 17 would be:

<-----------|---------------(------)-------------|---------------->
-∞ 24 +∞

In this number line, the open circle at 24 represents the number 24, and the line continues indefinitely to the right to represent all numbers greater than 24.