Question

The sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number

Answer 1

The sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number needs to be put down in an inequality.


`9x+15 \leq 24+10x`

Solve for x.


`-x \leq 9`

`x \geq -9`

Answer 2

let x be the number, then
9x + 15 < or = 10x + 25
then this inequality can be solved
subtract 9x from both sides of < or =
15 < or = x + 25
subtract 25 from both sides of < or =
-10 < or = x
this can be written as
x > or = -10