### Home > CCAA8 > Chapter 10 Unit 11 > Lesson CCA: 10.1.1 > Problem10-20

10-20.

Solve the following inequalities for $x$.

1. $4x-1\ge7$

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

$x\ge2$

1. $3-2x

• Use the same method as part (a).

• $x>-1$

1. $2\left(x-5\right)\le8$

• Distribute before solving.

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

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