### Home > GB8I > Chapter 11 Unit 12 > Lesson INT1: 11.1.2 > Problem11-21

11-21.

Solve the following inequalities. Explain or justify your steps for part (a).

1. $4x−1>7$

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

$x ≥ 2$

1. $3−2x

Use the same method as part (a).

$x \gt -1$

1. $2(x−5)<8$

Distribute before solving.

1. $\frac{1}{2}x>5$

Multiply the whole inequality by $2$ to cancel out the fraction.