CPM Homework Help : INT3 Problem 3-92

Solve each of the following inequalities. Express the solutions algebraically and on a number line.

$3x-5\le7$
Hint (a):
Solve the equation $3x-5\le7$ for $x$ . Plot the boundary point on a number line. Test a point on each side of the boundary point. Shade the region that makes the inequality true.
Answer (a):
$x\le4$

$x^2+6>42$
Hint (b):
See part (a). This inequality is quadratic, so look for two boundary points.
Answer (b):
$x<−6$ or $x>6$