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)