Question

The first dashed line is labeled y is greater than x plus 2. This line passes through left parenthesis negative 3 comma negative 1 right parenthesis and left parenthesis 0 comma 2 right parenthesis. The area above this line is shaded. The other dashed line is labeled y is less than x minus 2. This line passes through left parenthesis negative 1 comma negative 3 right parenthesis and left parenthesis 2 comma 0 right parenthesis. The area below this line is marked with a diagonal line pattern. The area between the dotted lines is unmarked.
Which point is a solution to the simultaneous inequalities y < ½x and y > (1/3)x +3?
(1 point)
(25,12)
(3,6)
(2,2)
(10,5)

Answer 1

(25, 12)

Check:
- y < 1/2 x: 12 < 0.5(25) = 12.5 — true
- y > (1/3)x + 3: 12 > (1/3)(25) + 3 = 8.333... + 3 = 11.333... — true