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Solve the compound Inequalities, graph the solutions and write the solutions in interval notation. Show all work.-5<2x+3 less then or equal to 11

Solve The Compound Inequalities Graph The Solutions And Write The Solutions In Interval Notation Show All Work5lt2x3 Less Then Or Equal To 11 class=

Sagot :

Answer:

Interval Notation: (-4,4]

Explanation:

Given the compound inequality:

[tex]-5<2x+3\le11[/tex]

Subtract 3 from all sides of the inequality:

[tex]\begin{gathered} -5-3<2x+3-3\le11-3 \\ -8<2x\le8 \end{gathered}[/tex]

Next, divide all sides of the inequality by 2.

[tex]\begin{gathered} \frac{-8}{2}<\frac{2x}{2}\le\frac{8}{2} \\ -4The solution to the compound inequality in interval notation is:[tex](-4,4\rbrack[/tex]

Next, we graph the solution.

• Since we have, -4,• At, x≤4,, we use a ,closed circle,.

The graph is shown below:

View image ImaraX147836
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