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Answer: the solution to the inequality is -3 < x < 4. Graphically, this should be (2)
Step-by-step explanation:Note that x^2 - x - 12 factors to (x - 4)(x + 3) < 0, so we have:
(x - 4)(x + 3) < 0.The only way for (x - 4)(x + 3) to be negative is if x - 4 and x + 3 have opposite signs. This only occurs when:
(i) x - 4 < 0 AND x + 3 > 0
==> x < 4 AND x > -3; both occur when -3 < x < 4.
(ii) x - 4 > 0 and x + 3 < 0, which cannot happen at the same time.
X^2+11x+24-50=0
X^2+11x-26=0
(X+13)(x-2)=0
X=-13 and x=2
Answer: 10.4
Multiply 5 by both sides so that the fives cancel out
Giving you 10x-4=100
Add 4 to both sides
10x=104
Divide by 10