Question

Which statements are true about the linear inequality y > Three-fourthsx – 2? Select three options.

The slope of the line is –2.
The graph of y > Three-fourthsx – 2 is a dashed line.
The area below the line is shaded.
One solution to the inequality is (0, 0).
The graph intercepts the y-axis at (0, –2).

Answer 1

True statements:
- The graph of y > Three-fourths x – 2 is a dashed line. (Strict inequality → boundary not included.)
- One solution to the inequality is (0, 0). (0 > (3/4)*0 − 2 → 0 > −2, true.)
- The graph intercepts the y-axis at (0, −2). (Set x = 0 gives y = −2.)

False: the slope is 3/4 (not −2), and the shaded region is above the line (not below).