CPM Homework Help : AC Problem 12-74

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Home > AC > Chapter 12 > Lesson 12.4.2 > Problem 12-74

12-74.

Solve the equations and inequalities below. Write your solutions in exact form.

$\frac{3}{4}-\frac{x}{3}=\frac{7-x}{4}$
Hint (a):
Multiply both sides by $12$ as a Fraction Buster.

$\left(b-4\right)^2<12$
Step 1(b):
Solve the equation $\left(b-4\right)^2=12$ to find the boundary points.
Step 2(b):
Graph the values you found for $b$ on a number line. Then test values from each region to determine which region(s) make(s) the inequality true.
Answer (b):
$4-\sqrt{12}<b<4+\sqrt{12}$

$\left|3+x\right|-9\le21$
Hint (c):
See the help for part (b).
Answer (c):
$-33\le x\le27$

$5n^2-11n+2=0$
Hint (d):
This quadratic is factorable.
More Help (d):
$\left(5n?1\right)\left(n?2\right)=0$

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