Question

Choose the correct description of the graph of the compound inequality 3x+1>7 and 4x<=24

Answer 1

1575554322666544322346

Answer 2

Answer:

The solution of the given inequalities is $2<x\leq6$. The graph is shown below.

Step-by-step explanation:

The given inequalities are

$3x+1>7$

$4x\leq 24$

Simplify the given inequalities.

$3x+1>7$

$3x>7-1$

$3x>6$

Divide both sides by 3.

$x>2$

Therefore the value of x for first inequality is greater than 2.

$4x\leq 24$

Divide both sides by 4.

$x\leq 6$

Therefore the value of x for second inequality is less than of equal to 6.

The combine solution is

$2<x\leq6$

The graph is shown below.