Answer :
Answer:
-6 < x < 6
Step-by-step explanation:
36 - x^2 > 0
isolate the x
36 > x^2
sqrt 36 > x
x > -6, x < 6
so it becomes
- 6 < x < 6
since the value has to be between -6 and 6 in order for the inequality to hold true
for example: you can plug in -7 for x
36 - (-7^2) > 0
36 - 49 > 0
-13 > 0 does not hold true
or you can plug in 7 for x
36 - (7^2) > 0
36 - 49 > 0
-13 > 0 does not hold true,
so the value would have to be greater than -6 or less than 6
Answer:
- x = ± 6
Step-by-step explanation:
- Step 1: Rewrite the inequality as -x^2 + 36 > 0.
- Step 2: Factor the quadratic expression -x^2 + 36. It can be factored as (6 + x)(6 - x).
- Step 3: Set each factor greater than zero and solve for x:
- (6 + x) > 0x < -6
- (6 - x) > 0x < 6
- Step 4: Combine the solutions: x < -6 or x < 6
- Q.E. :))
If u have questions feel free to ask
