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

Solve The Compound Inequality2y37 And 3y2 Gt 17Write The Solution In Interval NotationIf There Is No Solution Enter Ø class=

Sagot :

You have the following Compound inequality:

[tex]2y+3\ge7\text{ and }3y+2>17[/tex]

You can follow these steps in order to solve it:

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

[tex]\begin{gathered} 2y\ge7-3 \\ \\ 2y\ge4 \\ \\ y\ge\frac{4}{2} \\ \\ y\ge2 \end{gathered}[/tex]

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

[tex]\begin{gathered} 3y>17-2 \\ \\ 3y>15 \\ \\ y>\frac{15}{3} \\ \\ y>5 \end{gathered}[/tex]

3. Now you can set up that:

[tex]undefined[/tex]