(giving brainlelist if answered correctly!) which of the following inequalities is -4 ?

Mathematics

1 answer:

kicyunya [14]2 years ago

8 0

-5 is always smaller than -4. So, x might be -4. So, A is an option you should select.
2 is greater than -4. So, x might be -4. So, B is an option you should select.
If we place -4 in x, we get 3(-4)+4, i.e., -12 + 4 = -8. So, 3x + 4 = -8. Therefore, you cannot select C because it cannot be greater than, it should be always equal to.
5(-4) = -20, 2(-4) - 3 = -8 -3 = -11. -11 is greater than -20 but they are never equal. So, you cannot select D.
4 - 2(-4) = 4 + 8 = 12. 12 is greater than -6. Therefore, you should select E.

Answer

A, B, E.

Hope you could get an idea from here.

Doubt clarification - use comment section.

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Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq

Ksju [112]

Let
x-----------> first odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5