### Home > CAAC > Chapter 11 > Lesson 11.1.1 > Problem11-10

11-10.

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.  $2(x-5)\le8$

• Distribute before solving.

1.  $\frac{1}{2}x>5$

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