Question

Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should be in the solution set, one is not, and one should be on the boundary line. In the boxes below, prove mathematically that each point matches the description.

3x - 2y > -4

Point 1 in the solution set:

Mathematical proof:

Point 2 not in the solution set:

Mathematical proof:

Point 3 on the boundary line:

Mathematical proof:

Is this point in the solution set? Yes or No?

Solve each inequality below and show all steps. Graph your answers on a number line and in interval notation.

Please help its due at 11:59

Answer 1

Explanation:

3x - 2y > -4

Point 1 in the solution set:

(0,0)

Mathematical proof:

3(0)-2(0)>-4

0-0>-4

0>-4

True

Point 2 not in the solution set:

(-2,2)

Mathematical proof:

3(-2)-2(2)>-4

-6-4>-4

-10>-4

False

Point 3 on the boundary line:

(0,2)

Mathematical proof:

3(0)-2(2)>-4

0-4>-4

-4>-4

False

Is this point in the solution set? Yes or No?

No

Extra: