CPM Homework Help : INT1 Problem 11-34

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11-34.

Solve the following inequalities for $x$ . Graph your solutions on a number line.

$3x-5\le7+2x$
Hint 1(a):
Treat the inequality like an equation, then solve to find the boundary point.
Hint 2(a):
Graph the point on a number line then test another point to see which way to shade.
Partial Answer (a):
$x\le12$

$\left|x\right|-3<7$
Hint 1(b):
Solve for the absolute value of $x$ , then make two equations.
Hint 2(b):
Test numbers to determine which region is the solution.
Partial Answer (b):
$-10<x<10$

$5\left(2-x\right)+6>16$
Hint (c):
Distribute, then solve for $x$ .
Partial Answer (c):
$x<0$

$\left|x+2\right|>3$
Hint (d):
Solve $x+2=3$ and $x+2=-3$ to find the boundary points.

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