Choose the correct description of the graph of the compound inequality: 3x + 1 > 7 and 4x less than or equal to 24a. a number line with an open circle on 2, a closed circle on 6, and shading in between. b. a number line with an open circle on 2, shading to the left, and a closed circle on 6, and shading to the right. c. a number line with a closed circle on 2, shading to the left, and open circle on 6, and shading to the right. d. a number line with a closed circle on 2, an open circle on 6, and shading in between.

we have

-------> inequality A

-------> inequality B

Step 1

Solve inequality A

the solution is the interval------> (2,∞)

Step 2

Solve inequality B

the solution is the interval------> (-∞,6]

Step 3

Find the solution of the compound inequality

Solution A ∩ Solution B

(2,∞) ∩ (-∞,6]=(2,6]

therefore

the answer is the option A

a number line with an open circle on 2, a closed circle on 6, and shading in between

Option: A is the correct answer.

A. a number line with an open circle on 2, a closed circle on 6, and shading in between.

Step-by-step explanation:

We are given a system of inequalities as:

3x + 1 > 7 and 4x less than or equal to 24

i.e. it could also be written as:

And the second inequality is:

Hence, the compound inequality could be represented as:

                        x>2 i.e. (2,∞)

          and       x≤6  i.e. (-∞,6]

Hence, the feasible region or the region that is common to both the inequalities is:

               (2,6]

Hence, there will be a number line with open circle at 2 since 2 is not included in the domain and a closed circle at 6 and shading in between

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step-by-step explanation: