Lesson 1-5
external image spacer.gifSolving Inequalities



1.
Solve 4x > 28.


A.
{x | x < 7}
B.
{x | x > 28}


C.
{x | x > 7}
D.
{x | x < 4}


Hint


2.
Solve 2(y - 9) < 6.


A.
{y | y < 6}
B.
{y | y < 12}


C.
{y | y > 12}
D.
{y | y > -6}


Hint


3.
Write an inequality for the following problem. One fourth of a number increased by 17 is at least 63.


A.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%2B%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E
B.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E


C.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%20fontsize%3D10%3E%2B%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E
D.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%2B%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E


Hint


4.
Solve x + 7 > 13.


A.
{x | x > 6}
B.
{x | x > 20}


C.
{x | x external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3C%2Fmath%3E 20}
D.
{x | x < 13}


Hint


5.
Graph the solution set to the inequality 5x – 3 < 3x + 7.


A.
external image STQ01-04W-827999.gif


B.
external image STQ01-03W-827999.gif


C.
external image STQ01-01W-827999.gif


D.
external image STQ01-02W-827999.gif