Question

The Sum of twice a number and 5 is at most 15. What are the possible values for the number?

Answer 1

5 10=15
3x5=15
so 3.5.10

Answer 2

Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.


`2x+5\le 15`

Let's solve.


`2x+5\le 15\\ \\ 2x\le 15-5\\ \\ 2x\le 10\\ \\ x\le \frac { 10 }{ 2 } \\ \\ x\le 5`


`x\quad \in \quad \left[ -\infty ,5 \right]`

If the number is a natural number. The values it can take is,
`x\quad \in \quad \left[ 0,1,2,3,4,5 \right]`