CPM Homework Help : CCA Problem 11-127

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11-127.

Solve each inequality algebraically. Then represent your solution on a number line.

$5x-7\ge2x+5$
Partial Answer (a):
$x\ge4$

$6x-29>4x+12$

$x^2\le-4x+5$
Step 1(c):
$x^2=-4x+5$
Step 2(c):
$x^2+4x-5=0$
Steps (c):
Factor and use the Zero Product Property to solve for the boundary points. Place the boundary points on a number line then test a point in each region to determine which regions contain the solutions.

$\left|2x-7\right|>31$
Hint (d):
Solve two equations to find the boundary points:
$2x-7=31$
$2x-7=-31$
Partial Answer (d):
$x>19\ \text{or}\ x<-12$

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