Compound inequalitiesThere are 2 types of compound inequalities

AND OR

2 < x + 5 < 9-5-5 -5

-3 < x < 4

-3 4

-7 < -2m + 1< 3-1-1 -1

-8 < -2m < 2

-1 4

-2-2 -24 > m > -1-1 < m < 4

Why did the inequalitysymbols switch?With any compound

inequality they mustbe written with the leastvalue always on the left

Which means the wholeInequality has to bereversed

2x + 3 < 9 or 3x – 6 > 12-3 -3

2x < 62 2 x < 3

+6 +63x > 183 3 x > 6

X < 3 OR x > 6

3 6

5x – 3 > 17 or 4x + 1 < -3+3 +3

5x > 205 5 x > 4

-1 -14x < -44 4 x < -1

X < -1 OR x > 4

-1 4

X > 4 OR x < -1REMEMBERWith any compound inequality they must

be written with the leastvalue always on the left

Pgs. 384 385 4 – 26 even