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4-94.

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

3(x + 2) = 4x − 7
3x + 6 = 4x − 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