Question

Solve the compound inequality.2y+37 and 3y+2 > 17Write the solution in interval notation.If there is no solution, enter Ø.

Answer 1

You have the following Compound inequality:

`2y+3\ge7\text{ and }3y+2>17`

You can follow these steps in order to solve it:

1. Solve for "y" from the first inequality:

`\begin{gathered} 2y\ge7-3 \\ \\ 2y\ge4 \\ \\ y\ge(4)/(2) \\ \\ y\ge2 \end{gathered}`

2. Solve for "y" from the second inequality:

`\begin{gathered} 3y>17-2 \\ \\ 3y>15 \\ \\ y>(15)/(3) \\ \\ y>5 \end{gathered}`

3. Now you can set up that: