Question 4 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
One winter day, the outside temperature, y , never dropped below negative 1 degree The inside of a car was always warmer than the temperature outside by at least 4 degrees Which graph of a system of inequalities represents this scenario?
Answer
A
Image with description On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second dashed line has a positive slope and goes through (0 comma negative 4) and (2 comma negative 2). Everything above and to the left of the line is shaded.
B
Image with description On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second solid line has a positive slope and goes through (0 comma negative 4) and (4 comma 0). Everything below and to the right of the line is shaded.
C
Image with description On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second solid line has a positive slope and goes through (0 comma negative 4) and (4 comma 0). Everything above and to the left of the line is shaded.
D
Image with description On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0 comma negative 4) and (2 comma negative 2). Everything below and to the right of the line is shaded.
Explanation
Let x represent the car’s inside temperature and y the outside temperature. “Never dropped below −1°” means y ≥ −1, so the graph shades above the solid line y = −1. Being warmer by at least 4° means x ≥ y + 4, or y ≤ x − 4; this is the region below and to the right of the solid line through (0, −4) and (4, 0). Choice C shows both conditions.
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