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How do you write and solve an equation to find the integers if Mrs. Simms told her class to find two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer?

Answer 1

Eva Adamson

All the couple of consecutive integer satisfys this condition.

If we name an even number as #2k#, we can name the next one as:

#2k+2#.

So:

#2(2k)=2(2k+2)-4rArr4k=4k+4-4rArr0=0#, and so every k satisfys the relation given.

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Answer 2

Eva Abramson

Let ( x ) be the lesser even integer. Then the greater even integer is ( x + 2 ). The equation is ( 2x = 2(x + 2) - 4 ). Solving this equation, we find ( x = 2 ). So, the two consecutive even integers are 2 and 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.