EXAMPLE Checking Solutions 2 Tell whether the given value is a solution of the

Example checking solutions 2 tell whether the given

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EXAMPLE Checking Solutions 2Tell whether the given value is a solution of the inequality.a. x+1 > 7; xx+1 > 7 Write the inequality. = 8 x . b. 7y< 27; y7y<27 Write the inequality. = 4 y . c. z35; z=z35 Write the inequality.? 15 . ÷ x 10 Exercises 11–16 Value of x x + 3 7 Is the inequality true? 3 3 + 3 ? 7 6 7 yes 4 4 + 3 ? 7 7 7 yes 5 5 + 3 ? 7 8 / 7 no
Ź 1 Ź 3 Ź 4 Ź 2 0 1 5 4 2 Ź 5 3 Use an open circle because 2 is not a solution. Test a number to the left of 2. g â 0 is not a solution. Test a number to the right of 2. g â 3 is a solution. 328 Chapter 7 Equations and Inequalities EXAMPLE Graphing an Inequality 3 Graph g > 2. Ź 1 Ź 3 Ź 4 Ź 2 0 1 5 4 2 Ź 5 3 Shade the number line on the side where you found the solution. The graph shows there are infinitely many solutions. EXAMPLE Real-Life Application 4The NASA Solar Probe Plus can withstand temperatures up to and including 2600°F. Write and graph an inequality that represents the temperatures the probe can withstand. p 3 Reading The inequality g > 2 is the same as 2 < g .
Section 7.5 Writing and Graphing Inequalities 329 Exercises 7.5 9+(-6)=33+(-3)=4+(-9)=9+(-1)= 1. VOCABULARYHow are greater thanand greater than or equal tosimilar? How are they different?2. DIFFERENT WORDS, SAME QUESTIONWhich is different? Write “both” inequalities. 3. WRITINGExplain how the graph of x6 is different from the graph of x4. WRITINGAre the graphs of x5 and 5 xthe same or different? Explain.Write the word sentence as an inequality. < 6. 3 3. 13.

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