How to solve for x values: -3x + 2 < 5
-3x + 2 < 5
We will solve it the same way we solve any equation:
First subtract 2 from both sides:
==> -3x < 3
Now divide by (-3)
==> x > -1
(Notice that we changed the direction of the inequality because we divided by a negative number. Every time you multiply or divide by a negative number, you change the direction of the inequality).
Now x values belong to the interval (-1, inf.)
Substitute with 0:
-3(0) + 2 < 5
The first step is to isolate the term in x to the left side of the inequality.
For this reason , we'll add -2 both sides of the inequality, for the inequality to hold:
We'll divide by -3, both sides of the inequality.
Do not forget to change the direction of the inequality because you've divided the inequality by a negative value:
That means that the inequality holds for any value of x from the interval (-1, +infinity).
Pay attention that the interval is open to the left side, meaning that for the value of x = -1, the inequality doesn't hold.
-3x+2 < 5. To solve for x
-3x+2 < 5.
To solve the inequality we add equals to both sides, which does ot affect the inequality.So we add -2 to both sides.
-3x+2+(-2) < 5+(-2).
-3x < 3.
We can devide both sides by positive equals without affecting the inequality> So we divide by 3.
-3x/3 < 3/3
-x < 1.
We can multiply both sides of an inequality by -1, but we should reverse the inequality.
-x*(-1) < 1*(-1). In equality sign reverses by multiplication of -1.
x < -1