### Home > CC1 > Chapter 8 > Lesson 8.1.3 > Problem 8-43

8-43.

Solve and graph the following inequalities: Homework Help ✎

*x*− 9 < 17*x*+ 12 ≤ 610 ≥ 4 +

*x*

Solve the inequalities like an equation. Substitute the inequality symbol with an equal sign.*x* − 9 = 17

Isolate the *x* by adding nine to each side. *x* − 9 + 9 = 17 + 9 *x* = 26

Choose two numbers, one less than 26 and one greater than 26. (Example: 3 and 45) Substitute these numbers for *x* to decide which direction the arrow should point. *x* < 26

45 < 26 (False)

3 < 26 (True)

Since 3 is less than 26, we know that the arrow must point to the left. Every number to the left of 26 on a number scale is less than 26.

Use the same method from part (a).

*x* ≤ −6

Solve using the same method from part (a).