Compound Inequalities Solver

Solve compound inequalities by splitting them into two separate inequalities and finding the intersection of solutions.

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Solve: 9 − 4x < x − 6 < 10 − 3x

[Note: Use the word 'and' to combine two conditions.]

9 − 4x < x − 6 and x − 6 < 10 − 3x

−4x − x + 9 < −6

−5x + 9 < −6

−5x < −15

x > 3 (divide by −5, reverse inequality)

x + 3x − 6 < 10

4x − 6 < 10

4x < 16

x < 4 (divide by 4)

x > 3 and x < 4

3 < x < 4

Number Line Representation:

Solution: 3 < x < 4