Solve the inequalities by displaying the solutions on a calculator. See Examples 9 and 10 in Section

Question:

Solve the inequalities by displaying the solutions on a calculator. See Examples 9 and 10 in Section 17.2.

12x² + x < 1

Data from Example 10 of Section 17.2

Display the solution of the inequality −1 < 2x + 3 < 6 (see Example 6) on a calculator. In order to display the solution, we must write the inequality as −1 < 2x + 3 and 2x + 3 < 6

Then enter y₁ = −1 < 2x + 3 and 2x + 3 < 6 (consult the manual to determine how “and” is entered) in the calculator, as shown in Fig. 17.15(a). From Fig. 17.15(b), we see that the solution is −2 < x < 1.5. The trace and zoom features can be used to get accurate values. Compare Fig. 17.15(b) with Fig. 17.10.