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Choose the correct description of the graph of the compound inequality 3x + 1 > 10 and 4x 20.

AA number line with an open circle on 3, a closed circle on 5, and shading in between.

BA number line with an open circle on 3, shading to the left and a closed circle on 5, shading to the right

CA number line with an closed circle on 3, shading to the left, and a open circle on 5, and shading to the right

DA number line with a closed circle on 3, an open circle on 5, with shading in between.

Verified Answer :

Jieep


A number line with an open circle on 3, a closed circle on 5, and shading in between

we have in this problem

\(3x+1 > 10\) ------> inequality \(1\)

\(4x \leq 20\) ------> inequality \(2\)

Solve the inequality \(1\)

\(3x+1 > 10\\ 3x > 10-1\\ 3x > 9\\ x > 3\)

the solution is the interval------> (3,∞)

Solve the inequality \(2\)

\(4x \leq 20\\\\ x \leq \frac{20}{4} \\\\ x \leq 5\)

the solution is the interval------> (-∞,5]

Find the solution for the system

(3,∞) ∩ (-∞,5]--------> (3,5]

therefore

the answer is the option

A. A number line with an open circle on 3, a closed circle on 5, and shading in between.