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

x − 3 < 2x + 5 < 6x + 7

Data from Example 10

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.

Transcribed Image Text:

NORMAL FLOAT AUTO REAL DEGREE MP Plot1 Plot2 Plot3 NY1E-1<2X+3 and 2X+3<6 NY 2= NY 3= NY4= Y5= Y6= NY?= NY B= NY9= (a) NORMAL FLOAT AUTO REAL DEGREE MP Fig. 17.15 (b)