Question

Please help this is super urgent!!!

Answer 1

Answer:

Your answer would be a number line with an open circle on 2, a closed circle on 6, and shading in between.

Step-by-step explanation:

i.e. it could also be written as:

3x + 1 > 7

3x > 7 - 1

3x > 6

x > 2

And the second inequality is:

4x < 24

4x < 6

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

Answer 2

Answer:

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

Step-by-step explanation:

Given:

3x+1 > 7 → inequality A

4x ≤ 24 → inequality B

Step 1

Solve inequality A

3x+1>7

3x>7-1

x>2

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

Step 2

Solve inequality B

4 x ≤ 24

4 ≤ 6

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