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balandron [24]
3 years ago
10

Find the solution set of this inequality. select the correct graph. |-4x+14|>6

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0
Split the inequality into two:
(-4x+14)>6 & -(-4x+14)>6

solve:
(-4x+14)>6
-4x>-8
x<2
(symbol changes when ÷/× by negative for inequalities.)

-(-4x+14)>6
-4x+14<-6
-4x<-20
x>5

the answers are x<2 and x>5, so you would write your answer like this: (-∞,2) ∪ (5,∞)
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If (x + y)^2 = 105 and x^2 + y^2 = 65, what is the value of xy?
lesya692 [45]
\boxed { \boxed {(a + b)^2 = a^2 + 2ab + b^2}}

(x + y) ^2 = 105

x^2 + 2xy + y^2 = 105

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\text{Given that } x^2 + y^2 = 65,

65 + 2xy = 105

2xy = 105 - 65

2xy = 40

xy = 20

\boxed { \boxed {\text{Answer: xy = 20}}}
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