### Home > GB8I > Chapter 11 Unit 12 > Lesson INT1: 11.1.3 > Problem11-34

11-34.

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

1.  $3x−5\le7+2x$

Treat the inequality like an equation, then solve to find the boundary point.

Graph the point on a number line then test another point to see which way to shade.

$x\le12$

1.  $\left|x\right|−3<7$

Solve for the absolute value of $x$, then make two equations.

Test numbers to determine which region is the solution.

$−10

1.  $5(2−x)+6>16$

Distribute, then solve for $x$.

$x<0$

1.  $|x+2|>3$

Solve $x+2=3$ and $x+2=−3$ to find the boundary points.