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Home > CCA > Chapter 9 > Lesson 9.2.2 > Problem 9-59

9-59.

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

$3\left(2k-1\right)<9$
Hint (a):
Solve as an equation for $k$ .
Step 1(a):
Distribute the left side.
$6k-3<9$
Step 2(a):
Add $3$ to both sides.
$6k<12$
Step 3(a)
Divide by $6$ on both sides.
$k<2$
Step 4(a):
Test $k=0$
$6\left(0\right)-3<9$
$-3<9$

$\frac{2p}{5}\le6$
Hint (b):
Solve as an equation for $p$ .
Step 1(b):
Multiply both sides by $5$ .
$2p\le30$
Step 2(b):
Divide both sides by $2$ .
$p\le15$
Step 3(b):
Test $p=0$
$2(0)\le30$
$0\le30$

$-2+8n>2$
Hint (c):
See the hints in parts (a) and (b).

$7t-4>2t-4$
Hint (d):
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

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