Question

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

Answer 1

Answer:

$x >\frac{3}{2}$

Step-by-step 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

$\frac{6}{4}< x$

Simplify

$\frac{3}{2}< x$

Rewrite

$x >\frac{3}{2}$