Question

Solve and graph the absolute value inequality: |2x + 4| > 14

number line with open circles on −9 and 5, shading going in the opposite directions.

number line with open circles on −9 and 5, shading in between.

number line with closed circles on −9 and 5, shading going in the opposite directions.

a number line with open circles on −5 and 5, shading going in the opposite directions.

Answer 1

first, solve the inequality for x. Then graph it.

*remember, when making 14 a negative, to flip the arrow.

Answer 2

@monokerous I believe when you divide by a negative number you flips the arrow.

Answer 3

So you have two equations.

1st, ask yourself if the absolute value is isolated. In this case it is.
next, make two equations:

2x+4 > 14 or 2x+4 < -14

solve both equations for x and then graph it on a number line similar to this:

Answer 4

@tHe_FiZiCx99 yes, in essence, that is what I meant, since this is an absolute value. Different teachers teach it differently. I've had it taught to me both ways.

Answer 5

@monokerous Yeah, I've also been taught both ways. :>

Answer 6

Basically your equations are: 2x + 4 >14 or 2x + 4 > -14
You want to leave 2x alone, so cancel +4 by doing the opposite (inverse)
Subtract 4 from 4 and 4 from 14 = 10
Then isolate x by doing the opposite (inverse) (divide)
2x/2 > 10/2 = ?

Answer 7

Just type your inequality |2x + 4| > 14 here: http://www.wolframalpha.com/input/?i= |2x+%2B+4|+%3E+14