Question 1018615: Part 1. Rewrite the inequality as an equivalent pair of inequalities without absolute values or as a 3-part inequality.
|4x+5| -7>/=8
***>/= means greater than or equal to. not =8
Part2. Solve the inequality.
Part 3. Express answer in interval notation, and in set builder notation. Express where shaded area is on number line.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! |4x+5| -7>=8
abs(4x-5)>=15
4x-5>=15; 4x>=10,x>=2.5
if x=3, abs (17)-7>=8 true.
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4x+5<=-15
4x<=-20
x<=-5
check with -6
abs(-19)-7>=8
12>=8, true
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(-oo,-5] U [2.5,oo)
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