### Home > INT3 > Chapter 3 > Lesson 3.2.3 > Problem3-103

3-103.

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

1. $3(x+2)>4x-7$

Rewrite the inequality as an equation and solve.

Plot the boundary point. Should it be shaded or not? Test values on either side of the boundary point. Which side makes the inequality true?

$x<13$

1. $3x^2-4x+2\le x^2+x+6$

See part (a). Rearrange the equation so that it equals zero.

$\frac{5-\sqrt{57}}{4}\le x\le\frac{5+\sqrt{57}}{4}$ or $−0.637\le x\le3.137$