Question

Times the sum of a number and two is less than seven times the number

Answer 1

`x >(3)/(2)`

Explanation:

The complete question is

Three times the sum of a number and two is less than seven times the number. Find the number

Let

x -----> the number

we know that

The linear equation that represent this problem is

`3(x+2) < 7x`

Solve for x

Apply distributive property left side

`3x+6 < 7x`

Subtract 3x both sides

`6 < 7x-3x`

`6 < 4x`

Divide by 4 both sides

`(6)/(4)< x`

Simplify

`(3)/(2)< x`

Rewrite

`x >(3)/(2)`