CPM Homework Help : INT2 Problem 9-18

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Home > INT2 > Chapter 9 > Lesson 9.1.2 > Problem 9-18

9-18.

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

Hint:

Read the Math Notes box in Lesson 9.2.2.

$4x - 3 ≥ 9$
Step 1(a):
Change to an equation and solve for the boundary point.
$4x - 3 = 9$
$4x = 12$
$x = 3$
Step 2(a):
Place the boundary point on a number line.
Step 3(a):
Test a point that is not the boundary point.
Test $x = 0$ :
$4(0) - 3 ≥ 9$
$-3 ≥ 9$
False
Answer (a):
$x ≥ 3$

$3(x + 4) < 5$

$\frac { 2 x } { 7 }< 8$
Answer (c):
$x < 28$

$5x+4>-3\left(x-8\right)$

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