Section 3.1, Ifeayani

Today in class we went over solving compound inequalities with “and” or “or”.

inequality- A statement between two expressions indicating which one has greater value.

solving a compound inequality with “and”


ex1: x+19 and x-23

step1: solve each inequality in the compound inequality individually.
x+19 and x-23
x8 x5


step2:Since the inequalities are joined with and, the solution set of the compound inequality will include all numbers that satisfy both inequalities in step 1 (the intersection of the solution sets).
[-----------]
|-|-|-|-|-|-|-|-|-|-|-|-
0 2

ex2: 2x+1 7 and 3x-4 17
(subtract 1) 2x 6 3x 21
(divide by 2) x 3 and x 7

set notation: [3,7]


solving a compound inequality with or

you solve step 1 the same way but your answer has to include everything that satisfies either equation.

ex1 with “or” would be all real numbers


ex2 with “or” would also be all real numbers

The next scribe post will be William