CPM Homework Help : CCA2 Problem 4-101

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4-101.

Solve each of the following inequalities. Represent the solutions algebraically and on a number line.

$2 | 3 x - 5 | \geq 4$
Hint (a):
See problem 4-66 for examples of absolute value inequality problems.

$\frac{1}{3}(3x−6)^3+4<13$
Step 1(b):
Solve the equation:
$\frac{1}{3} (3x-6)^3 + 4 \lt 13$
Step 2(b):
$\frac{1}{3} (3x-6)^3\lt 9$
$(3x−6)^3<27$
$3x−6<3$
$x<3$
Step 3(b):
Plot the boundary point on a number line.

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