Question

5(9-x)/3 +1 less than 11
find x​

Answer 1

x >
`(1)/(5)`

Explanation:

`(5(9-x))/(3+1)<11`

Add 3 and 1 to get 4.

`(5(9-x))/(4)<11`

Use the distributive property to multiply 5 by 9−x.

`(45-5x)/(4)<11`

Subtract 45/5 from both sides.

`-(5)/(4)x<11-(45)/(4)`

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

`-(5)/(4) x<-(1)/(4)`

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

`x>-(1)/(4) (-(4)/(5) )`

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

`x>(-(-4))/(4 x 5)`

`x>(1)/(5)`