Question

If |2x – 9| < 11, which statement is correct?














A)

–10 < x < 10









B)

–1 < x < 10









C)

1 < x < –10









D)

x > –1 or x < 10

Answer 1

-11 < 2x - 9 < 11

Answer 2

solve the inequality for x

Answer 3

step1; add 9 to all sides

Answer 4

step2; divide all sides by 2

Answer 5

l2x-9l<11
\[2x-9<\pm11\]
first we take +11

2x+1<11
2x<2
x<1

or
2x-9<-11
2x<-20
x<-10