Question

What is the smallest integer n such that 5n + 3 > -10

Answer 1

`solution set={n/n > -13/5}`

Explanation:

`5n + 3 > -10\\subtracting 3 on both sides\\5n + 3-3 > -10-3\\5n > -13\\n > -13/5 is the answer`

hope it will help :)

Answer 2

Isolate n:

5n + 3 > -10

Subtract 3 from both sides:

5n > -13

Divide both sides by 5:

n > -13/5

n > -2.6

An integer is a whole number, so the smallest whole number that would make the statement true would be -2:

5(-2) + 3 = -10 +3 = -7

5(-3) + 3 = -15 + 3 = -10

Since -7 is greater than -10, the answer is -2