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BartSMP [9]
3 years ago
7

Solve the inequality |x| < 5.

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0
<h2>Hello!</h2>

The answer is:

{-5<x<5}

<h2>Why?</h2>

To solve the problem, we need to remember how Absolute Value Functions behave, when we have this type of function, related to an inequality, the solution will be between two values.

We are given the inequality:

|x|

So, we know that "x" will be between -5 and 5:

-5

Hence, the solution of the given inequality will be:

(-5,5) or {-5<x<5}

Have a nice day!

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Solve the following system of equations.<br> 5x+2y =-6<br> 3x-2y = 22
katen-ka-za [31]

Answer:

5x+2y =-6 ........1

3x-2y = 22 ........2

Add both Equations

we get

8x = 16

Divide both sides by 8

x = 2

Substitute x = 2 into any of the equations

3(2) - 2y = 22

-2y = 22 - 6

- 2y = 18

Divide both sides by -2

y = - 9

x = 2 y = - 9

Hope this helps

6 0
3 years ago
What is 7+3t over 4 = -t over 8
katrin [286]
7+3t       -t
------- = -----  is the relevant equation here.  We don't ask, "What is 7+3t over
   4          8    -t over 8," but rather "Solve the following equation for t."

Cross multiplying, 56 + 24t = -4t
 
                                       -56
Then:  28t = 56, and t = ------ = -2 (answer)
                                         28

The solution to "<span>What is 7+3t over 4 = -t over 8" is t = -2.</span>
5 0
3 years ago
Graph the system of equation below on a piece of paper what is the solution y=x-1 and y=-2x+5
ANTONII [103]

We are given

First equation:

y=x-1

we can use formula

y=mx+b

slope is m=1

y-intercept is b=-1

Second equation:

y=-2x+5

we can use formula

y=mx+b

slope is m=-2

y-intercept is b=5

Graph:

We can see that

both curves intersect at (2,1)

so, solution is x=2 and y=1.................Answer

6 0
3 years ago
Solve the equation 3(x - 7) = 42
Effectus [21]

Answer:

x=21.

Step-by-step explanation:

First you distribute 3 to the parenthesis. You should get 3x-21=42 at this point. Then you add 21 to 42 to get 63. Here you should be at 3x=63. Divide 63 by 3 to get x=3

6 0
3 years ago
Read 2 more answers
6. The population of wolves is currently 250 in a forest. Scientists estimate that there should be a
prisoha [69]

Answer:

275

Step-by-step explanation:

250÷10=25 250+25=275

7 0
2 years ago
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