Solve the inequality below. Write your solution in interval notation. If there is no solution, write "no solution." Shown in picture.

Question

asked Dec 3, 2024 145k views

1 Answer

Register Sole · Answer 1 · 2024-12-07T10:02:03+0000

Answer:
$\boldsymbol{(-\infty, 9)}$

Work Shown

5x+1 > 7x-17

5x-7x > -17-1

-2x > -18

x < -18/(-2)

x < 9

The inequality sign flips when dividing both sides by a negative value.

The inequality
$\text{x} < 9$ is the same as
$-\infty < \text{x} < 9$ and then that condenses to the interval notation
$(-\infty, 9)$

Use curved parenthesis so you exclude the endpoint.