How to solve (x+7)(x-9)>0
1 answer:
Answer:
x < -7, x > 9.
Step-by-step explanation:
Solve for x.
x = -7, 9
From the values of x above, we have these 3 intervals to test.
Pick a test point for each interval.
For the interval x < −7:
Let's pick x=−8. Then, (-8 + 7) (-8 - 9) > 0.
After simplifying, we get 17>0, which is true
Keep this interval.
Let's pick x=0. Then, (0+7)(0-9) > 0.
After simplifying, we get −63 > 0, which is false.
Drop this interval.
For the interval x > 9:
Let's pick x=10. Then, (10+7)(10-9)>0.
After simplifying, we get 17 > 0, which is true
Keep this interval.
Therefor, the answer is x < -7, x > 9.
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