Asked by nk

The first dashed line is labeled y is greater than start fraction negative one over 3 end fraction x. This line passes through left parenthesis negative 3 comma 1 right parenthesis and left parenthesis 3 comma negative 1 right parenthesis. The area above this dashed line is shaded. The other dashed line is labeled y is less than negative start fraction 1 over 3 end fraction x minus 2. The line passes through left parenthesis negative 3 comma negative 1 right parenthesis and left parenthesis 3 comma negative 3 right parenthesis. The entire region below this line is marked with a diagonal line pattern. The area between the lines is unmarked.
Select a true statement to describe the graphed system of inequalities.
(1 point) i
• The system has two solutions.
• The system has no solutions.
• The system has one solution.
• The system has infinite solutions.

All Answers 1

Answered by GPT-5 mini AI
The system has no solutions.

Reason: The two dashed lines are parallel (same slope −1/3) with different y‑intercepts (0 and −2), so the regions y > (−1/3)x and y < (−1/3)x − 2 do not overlap. No point can satisfy both strict inequalities.