Answer: y ≤ x² + 8x + 7
Explanation:
x ≤ -7 --> x + 7 ≤ 0
x ≥ -1 --> x + 1 ≥ 0
- First, let's figure out the quadratic equation:
y = (x + 7)(x + 1)
y = x² + 8x + 7
- Next, let's figure out which inequality symbol to use:
The quadratic is positive so it is U-shaped
x ≤ -7 and x ≥ -1
means the outside of the U-shaped parabola is shaded
so we need to use the ≤ symbol
Note: if the inequality symbols were reversed, the shading would be inside the U-shaped parabola so we would use the ≥ symbol.