Solving Absolute Value Inequalities [fbt]
Solving Absolute Value Inequalities [fbt]

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Which number line shows the solution to the inequality 2x – 3 > -11?
-4 -2
CAAAA 4 -2 0

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01:57

Solve each linear inequality and graph the solution set on a number line.$$\frac{2}{7}(7-21 x)-4>10-\frac{3}{11}(11 x-11)$$

01:32

Solve the inequality. Then graph the solution.$$-22>11 x \text { or } 4+x>4$$

01:23

Solve each inequality. Graph the solution on a number line. $$-(x+4)-3 \geq 11$$

01:03

Solve the inequality. Express your answer in interval notation, and graph the solution set on the number line.$$|x-4| \leq 11$$

Transcript

So in order to figure out which number line is correct, I’m just gonna solve this inequality like I would in the equation. So how do I solve an equation? Well, my goal is to get X by itself on one side of the variable, or one side of the equation here. Same thing. So first I’m gonna move over that three opposite of subtracting and adding three to keep this balanced. This will be negative eight. Does add in three flipped inequality. It does not. When…