math
posted by Jane
Please solve and explain how to solve the compound inequality:
4 < 4a +3 < 18

Steve
a compound inequality is just two inequalities. Solve each one.
4 < 4a+3
1 < 4a
1/4 < a
4a+3 < 18
4a < 15
a < 15/4
so, the solution is
1/4 < a < 15/4
or, you can indeed solve it as a combination, if it's relatively simple, as this one is.
4 < 4a+3 < 18
subtract 3 all across
1 < 4a < 15
divide by 4
1/4 < a < 15/4
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