### Home > CCA2 > Chapter 4 > Lesson 4.2.3 > Problem 4-94

4-94.

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

3(*x* + 2) = 4*x* − 7

3*x* + 6 = 4*x* − 7

13 = *x*

Plot the boundary point. Should it be shaded or not? Test values on either side of 13. Which side makes it true?

*x* < 13

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

The equation can't be factored. Use the Quadratic Formula.

Plot the boundary points. Test a point between them. Does it make the inequality true? If so, shade between.

If not, test points on the outside.

or

0.637 ≤ *x* ≤ 3.137