H(x) = 3x + 3 Which inequality represents all values of x for which (May 2023 U.S.)

Correct answer: C) x > -1.
To determine the inequality that represents all values of x for which the graph of y = h(x) is above the x-axis, we need to find the x-intercept of the line.

The equation of the line is:
h(x) = 3x + 3

To find the x-intercept, we set h(x) = 0 and solve for x:
3x + 3 = 0
3x = -3
x = -1

The x-intercept is at x = -1.
Now, we need to determine the inequality that represents all values of x for which the graph is above the x-axis.
The graph of y = h(x) is a straight line with a positive slope (3), which means it is increasing from left to right.
Therefore, all values of x greater than the x-intercept (-1) will result in the graph being above the x-axis.