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EXAMPLEChecking Solutions2Tell whether the given value is a solution of the inequality.a. x+1 > 7; xx+1 > 7 Write the inequality.=8x.b. 7y< 27; y7y<27 Write the inequality.=4y.c. z3≥ 5; z=z—3≥ 5 Write the inequality.?—15.÷x≤ 10Exercises 11–16Value of xx+3 ≤7Is the inequality true?33 +3 ≤?76 ≤ 7 ✓yes44 +3 ≤?77 ≤ 7 ✓yes55 +3 ≤?78 ≤/7 ✗no
Ź1Ź3Ź4Ź201542Ź53Use an open circle because2 is nota solution.Test a number to the left of 2.gâ0 is nota solution.Test a number to the right of 2.gâ3 is a solution.328Chapter 7Equations and InequalitiesEXAMPLEGraphing an Inequality3Graph g> 2.Ź1Ź3Ź4Ź201542Ź53Shade the number line on the side where youfound the solution. The graph shows there areinfinitely manysolutions.EXAMPLEReal-Life Application4The 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≥ −3ReadingThe inequality g>2 is the same as 2 <g.
Section 7.5Writing and Graphing Inequalities 329Exercises7.59+(-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 x≤ 6 is different from the graph of x4. WRITINGAre the graphs of x≤ 5 and 5 ≥ xthe same or different? Explain.Write the word sentence as an inequality.< 6.3—−3.13.