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

Solution:

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,

$x>-\frac{9}{3}=-3$

that is,

$x>-3$

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

0 and 3.