Question

Consider the inequality 7 + 4x > x − 2. Which value(s) of x are solutions? Select all that apply.A.x = −3B.x = 0C.x = 3D.x = −6

Answer 1

Consider the following inequality:

`7+4x\text{ >x-2}`

Placing all like terms on the same side of the equation, we get:

`4x-x>-2-7`

this is equivalent to:

`3x\text{ > -9}`

solving for x,

`x>-(9)/(3)=-3`

that is,

`x>-3`

according to this, the solution is all numbers greater than -3. Then the correct answers are:

0 and 3.