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VARVARA [1.3K]
3 years ago
5

Eight less than four times a number is less then 56. What are the possible values of that number?

Mathematics
2 answers:
valentina_108 [34]3 years ago
8 0

Answer:

x < 16

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Firstly, we should convert the question into a numerical function in order to visualize it better. Therefore, the function would look like so,

4x-8 < 56

Even though this is an inequality expression we can solve it like any Algebraic Expression. That being the case lets solve for x by getting x alone on one side.

4x-8 < 56 .... add 8 on both sides

4x < 64 ... divide both sides by 4

x < 16

Finally, we can see that the answer is x < 16

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Mashutka [201]3 years ago
5 0

Answer: B. X<12

Step-by-step explanation:

First we need to find out what number multipled by 4 is less than 56

4 x 12 = 48

56-48 = 8

And 4 is lower/less than 12 so that's why it's B

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ivanzaharov [21]

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

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