CPM Homework Help : INT2 Problem 11-51

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11-51.

Solve the equations and inequalities below. Check your solution(s), if possible.

$300x-1500=2400$
Hint (a):
What is the largest number you can divide all three terms by?

$\frac{3}{2}x=\frac{5}{6}x+2$
Hint (b):
What can you multiply all three terms by to get rid of the fractions?
Answer (b):
$x=3$

$x^2-25\le0$
Hint 1(c):
Factor and solve as an equation.
Hint 2(c):
Test numbers to determine the solution regions.

$\left|3x-2\right|>4$
Hint 1(d):
Set up two equations and solve for $x$ .
Hint 2(d):
Test numbers to determine the solution regions.
Answer (d):
$x<-\frac{2}{3}$ or $x>2$

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