Home > INT1 > Chapter Ch11 > Lesson 11.2.2 > Problem11-65

11-65.

Solve the inequalities below. Graph your solutions on number lines. Explain your steps for part (c).

Look at problem 11-21 in Lesson 11.1.2, which is similar to this problem.

1. $6x − 1 < 11$

Solve as an equation to find the boundary point.
Then check points in each region to determine which region is the solution.

1. $\frac{1}{3}x\ge2$

Multiply by 3 to cancel out the fraction.

1. $9(x−2)>18$

Distribute and then solve.

1. $5−\frac{x}{4}\le\frac{1}{2}$

Multiply by a common factor to cancel out the fractions.