Algebra Demystified 2nd Ed

Chapter 9 linear inequaliTieS 337

If 0 < y < 4, the corresponding interval for x can be found by solving 0 < 3 – x < 4.

03 4 33 3 31 31 311

≤-< -- - -≤-< -- ≥-->- ≥>--<≤

x

x x xx

()() or 33

PRACTICE Give the corresponding interval for x.

yx=- 45 -< <y 5

yx=- 4302 <≤y

yx=- 72 41 ≤≤y 0

yx=+^81 -≤ ≤-^51 y

yx=-^2384 <<y 6

y=x-^4 -≤ <y
2

13

✔SOLUTIONS

yx y
x

x

=- -<< -< -< +++ -< <

455 545 444 19

yx y
x

x x

=- <≤ <-≤ +++ <≤ <≤

4302 0432 333 34 5 3 4

4 4

5 4 3 4

<<≤x^5 4

PRACTICE Give the corresponding interval for