CPM Homework Help : CCA Problem 11-71

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Home > CCA > Chapter 11 > Lesson 11.2.3 > Problem 11-71

11-71.

Solve the equations and inequalities below. Check your solutions, if possible.

$\left|5x+8\right|\ge-4$
Step (a):
Set up two equations to remove the absolute value.
$5x+8=-4$ or $5x+8=4$
$5x=12$ or $5x=-4$
Hint (a):
Test numbers to see which region is the solution.
What does it mean if both regions come out true?

$x^2+x-20<0$
Hint (b):
Treat the inequality like an equation and factor.
More Help (b):
Use the Zero Product Property to solve for $x$ then test numbers to determine which region is the solution.

$2x^2-6x=-5$
Hint (c):
This is a quadratic equation.
Answer (c):
No solution.

$\frac{5}{9}-\frac{x}{3}=\frac{4}{9}$
Hint (d):
First multiply both sides of the equation by $9$ to remove the fractions.

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