Solve this system of linear inequalities by graphing.
y ≥ x + 4
y > -x – 1
Hint
Shade y ≥ x + 4 on the left, and shade y > -x – 1 on the right.
Answer
y > -2x – 8
Shade on top, and shade y > -2x – 8 on the right.
y < x + 4
y > x + 2
These lines are parallel.
y ≥ -3x + 2
y < -2x – 1
Shade y ≥ -3x + 2 on the right side, and shade y < -2x – 1 on the left.
y ≥ 3x – 3
y < -x + 3
Shade y ≥ 3x – 3 on the left, then shade y < -x + 3 on the left.
x < 2
y < -4
Sometimes things aren't that complicated. Shade to the left of x < 2 and below y < -4.
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on top, and shade y > -2x – 8 on the right.
