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5-2(n+2)greater than or equal to 4+n

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Answer and step-by-step explanation:

5-2(n+2)

we learn that: a*(b-c) = a*b - a*c so in this case:

5-2(n+2)

= 5 - 2n +(-4)

= 5 - 2n - 4

= 5 - 4 -2n

= 1-2n

When you compare 1-2n and 4+n

If n is a positive number (>0), 1-2n < 4+n

For example if n =3

1-6 compare with 4+3

-5 < 7

If n is a negative number (<0), 1-2n > 4+n

For example if n = -3

1 - 2*(-3) compare with 4 + (-3)

= 7 compare with 1

If n is 0 (n=0), 1-2n < 4+n

1-0 compare with 4+0

1 < 4

Hope this help you :3

User Digiben
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