Question

Solve the inequality and express your answer in interval notation
x^2+8x-7<0

Answer 1

• (-8.8, 0.8)

Explanation:

• x^2+8x-7<0
• x^2 + 8x + 16 - 23 < 0
• (x + 4)^2 < 23
• |x + 4| < √23 ≈ 4.8

1 .

• x + 4 < 4.8

• x < 0.8

2.

• -(x + 4) < 4.8

• x + 4 > - 4.8

• x > - 8.8

Combination of the two intervals:

• x = (-8.8, 0.8)