Question

Determine whether (-4, 0) is a solution of the linear inequality z + 3y > 4.

A. No
B. Yes

Answer 1

After substituting the point (-4, 0) into the inequality z + 3y > 4, it simplifies to -4 > 4, which is not true. Therefore, (-4, 0) is not a solution to the inequality.

Step-by-step explanation:

To determine whether the point (-4, 0) is a solution to the linear inequality z + 3y > 4, we will substitute the values of z and y from the point into the inequality:

• z is -4
• y is 0

By substitution, we get:

(-4) + 3(0) > 4

This simplifies to:

-4 + 0 > 4

Or just:

-4 > 4

Clearly, -4 is not greater than 4. Therefore, the point (-4, 0) is not a solution to the inequality z + 3y > 4.

The answer is:

C. No