Question

Solve the compound inequality. 2y+3< 15 3y+4> 13 Write the solution in interval notation. If there is no solution, enter Ø.

Answer 1

We have a compound inequality:

$\begin{gathered} 2y+3<15 \\ 3y+4>13 \end{gathered}$

We will clear both inequalities for y:

$\begin{gathered} 2y+3<15 \\ 2y<15-3 \\ 2y<12 \\ y<\frac{12}{2} \\ y<6 \end{gathered}$$undefined$