Question

the product of 8/9 and the sum of a number and -4 is less than or equal to 64 what are all the possible values of the number ? SHOW WORK!!!!!

Answer 1

`x\leq 76`

Explanation:

Let x = unknown number

⇒
`(8)/(9)*(x-4)\leq 64`

⇒
`(8(x-4))/(9) \leq 64`

Multiply both sides by 9:

⇒
`8(x-4)\leq 576`

Expand brackets:

⇒
`8x-32\leq 576`

Add 32 to both sides:

⇒
`8x\leq 608`

Divide both sides by 8:

⇒
`x\leq 76`