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sertanlavr [38]
3 years ago
13

5x – 24 > 26 what is the solution to the inequality?

Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

x > 10

Step-by-step explanation:

5x - 24 > 26

Add 24 on both sides.

5x -24 + 24 > 26 + 24

5x > 50

Divide by 5 on both sides.

x > 50 ÷ 5

Find x.

x > 10

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3 years ago
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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When you are given an equation, there is an input and an output. In this case, you put in the number of days and the output is the distance between the lava and the road.

If you make a chart of the inputs and outputs, you will see that the lava is getting closer to the road.
7 0
3 years ago
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