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Home > CCA > Chapter 10 > Lesson 10.1.1 > Problem 10-20

10-20.

Solve the following inequalities for $x$ .

$4x-1\ge7$
Hint (a):
- Solve as an equation to find the boundary point.
  Check points in each region to determine which region is the solution.
  Answer (a):
  $x\ge2$

$3-2x<x+6$
Hint (b):
- Use the same method as part (a).
- Answer (b):
- $x>-1$

$2\left(x-5\right)\le8$
Hint (c):
- Distribute before solving.

$\frac{1}{2}x>5$
Hint (d):
- Multiply the whole inequality by $2$ to cancel out the fraction.

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