Assess Readiness
-
-
What type of inequalities have solution sets with closed circles?
Greater than or equal to
(\ge) and Less than or equal to(\le) . -
Are the values in the solution set greater than
1 or less than1 ? How do you know?Greater than
1 . Possible explanation: The red line and arrow are pointing toward values greater than1 (2 ,3 ,4 , ...). -
-
Look at Part 2. What steps can you use to solve this inequality?
Add
3 to both sides of the inequality, then divide both sides of the inequality by-2 . -
Will either step change the direction of the inequality symbol? How do you know?
Yes; dividing both sides of the inequality by
-2 will change the inequality symbol. Multiplying or dividing both sides of an inequality by a negative number changes the direction of the symbol. -
-
Look at Part 3. What property was used to get the equation in Step 1?
The distributive property.
-
What other step(s) could you have taken to start solving this equation?
Possible answers: Subtract
4x from both sides of the equation; Subtract2x from both sides of the equation. -
-
-
What operations were performed in Steps 4 and 5?
Adding
3 to both sides of the equation and dividing both sides of the equation by5 . -
How can you check to confirm that
x=3 is a solution to the original equation?Substitute
x=3 back into the original equation and verify that it makes the equation true.
| ASSESS READINESS | MISCONCEPTIONS | WARM UP | FOCUS | EXTEND | FINISH |