### Home > CCA > Chapter 9 > Lesson 9.2.2 > Problem9-59

9-59.

Solve the inequalities below for the given variables. Represent your solutions on a number line.

1.  $3(2k−1)<9$

Solve as an equation for $k$.

Distribute the left side.
$6k−3<9$

Add $3$ to both sides.
$6k<12$

Divide by $6$ on both sides.
$k<2$

Test $k=0$
$6(0)−3<9$
$−3<9$

1.   $\frac{2p}{5}\le6$

Solve as an equation for $p$.

Multiply both sides by $5$.
$2p\le30$

Divide both sides by $2$.
$p\le15$

Test $p=0$
$2(0)\le30$
$0\le30$

1.  $−2+8n>2$

See the hints in parts (a) and (b).

1.  $7t−4>2t−4$

See the hints in parts (a) and (b).

Use the eTool below to complete the number lines.
Click the link at right for the full version of the eTool: 9-59 HW eTool