Absolute Value Equations and Inequalities (A1 1-7)

What is the first step in solving this absolute value equation? 

$$|x+5|=12$$  

After we set the expression equal to 12 and -12, what is the second step? 

 |x+5|=12

$$x+5=\ 12\ \ \ or\ \ \ x+5=-12$$  

What are the two solutions for x?  

$$x+5=\ 12\ \ \ or\ \ \ x+5=-12$$  

What is the first step in solving this absolute value equation? 

$$4\left|x+8\right|=36$$  

After we isolate the absolute value, what do we do next? 

$$\frac{\left(4∣x+6∣\right)}{4}​=\frac{36}{4}$$ ----->   $$​\left|x\ +\ 6\right|=9$$  

What are the two solutions for x? 

  $$​\left|x\ +\ 6\right|=9$$  -----> $$x+6=9\ \ \ and\ \ \ x+6=-9$$  

Which symbol means less than?

Which symbol means greater than or equal to?

Would this absolute value equation be an "AND" or "OR"?  $$\left|x-5\right|\le2$$  

Would this absolute value equation be an "AND" or "OR"? 

$$\left|-4x+7\right|\ge3$$  

Would this absolute value equation be an "AND" or "OR"? 

$$∣3x+1∣<7$$  

Which of the following absolute value inequalities would be an "OR"?

(CHOOSE ALL THAT APPLY)

Which of the following absolute value inequalities would be an "AND"?

(CHOOSE ALL THAT APPLY)

Is this absolute value inequality going to be an "AND" or an "OR"?

  $$∣x+6∣<2$$  

Which two inequalities below would be the next step in solving 

  $$∣x+6∣<2$$  

Solve the absolute value inequality.

  $$∣2x−1∣<3$$  

Is this absolute value inequality going to be an "AND" or an "OR"?

  $$9∣x+4∣+10\le55$$  

What would be the next step to isolate the absolute value? 

  $$9∣x+4∣\le45$$  

Which two inequalities below would be the next step? Click two below

  $$∣x+4∣\le5$$  

Solve the absolute value inequality.

$$6\left|x+3\right|-10\ge-4$$