Solve compound inequality 4v+4 less than or equal to 12 or 3v-3 less than -12. Write the solution in interval notation if there is no solution write no solution.
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Solve compound inequality 4v+4 less than or equal to 12 or 3v-3 less than -12. Write the solution in interval notation if there is no solution write no solution.

Our inequalities are,

4v + 4 <= 12 || 3v - 3 < -12   (divide the 1st inequality by 4 and the 2nd one by -3, to give)

v + 1 <= 3  ||  v - 1 < -4        (rearrange both inequalities)

v <= 2  || v <-3

We have a compound inequality here, v <= 2 or v < -3, which is satisfied by the single inequality, v <= 2.

Solution: v <= 2  (since any number less than or equal  2 will be either less than or equal to 2 or less than -3, or both)

by Level 11 User (80.9k points)

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