How do you solve inequalities when you have two inequality symbols in the expression, e.g. 4x - 6 < 14 < 3x + 2
So to tackle this question you have to imagine 4x + 6 < 14 < 3x - 2 as two separate inequalities.4x - 6 < 14 and 14 < 3x + 2
This still means the same thing but we have simplified it by looking at them one at a time.
We now solve them for x imagining that the inequality sign < is an equals.So we have:4x - 6 = 144x = 20 (add 6 to both sides)x = 5 (divide by 4)put the inequality sign back in x < 5
14 = 3x + 212=3x4=x4 < x
Combine the two again:
4 < x < 5
AP
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