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Ne4ueva [31]
3 years ago
14

Solve for x: −2x − 4 > 8

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

x < -6

Step-by-step explanation:

-2x -4 > 8

-2x +4 >+4

-2x >12

/-2 > /-2

x < -6

remember to flip the inequality sign whenever you divide by a negative number :)

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Please help me now ! Thank you
jarptica [38.1K]
First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now

2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4

At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real. 

Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result. 

For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196

No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.

So x^2 = -4 has no real solutions. Taking the square root of both sides leads to

x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values


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Answer:

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2. 31.50

Step-by-step explanation:

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It's 31.50 because 10.50 * 3 = 31.50

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