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