Solving Inequalities Review Lesson

Solving Inequalities Review Lesson

By Debbie Motsinger

all real numbers less than 4

• ​use a variable to represent all real numbers

​ x < 4​

​Writing Inequalities

<​ Less than

>​ Greater than

≤​ Less than or equal to

≥​ Greater than or equal to

Inequality Symbols

Inequalities and Their Graphs

Some text here about the topic of discussion

Multiple Choice

All real numbers greater than or equal to 14

• x > 14

• X < 14

• $$x\ \le\ 14$$  

• $$x\ \ge\ 14$$  

Graph Inequalities

​To graph an inequality:

If the inequality includes the symbol < or >, use an open circle.

If the inequality includes the symbol < or >, use a closed circle.

​

If the variable is to the left of the symbol (ex. x < 10):

• a less than (<) means all numbers to the left of the circle.

• a greater than symbol (>) means all numbers to the right of the circle. ​

​

​

Multiple Choice

w < 8

Multiple Choice

• $$x\ >\ 3$$  

• $$x\ >\ -3$$  

• $$x\ \le\ -3$$  

• $$x\ \ge\ -3$$  

Multiple Choice

• b < 5

• b > -5

• b < -5

• b > 5

Multiple Choice

• $$r\ \le\ -5$$  

• $$r\ \ge\ -5$$  

• $$r\ \ge\ 5$$  

• $$r\ \le\ 5$$  

Multiple Choice

• x < -1

• x > -1

• x > 0

• x < 0

Multiple Choice

• n < 1

• n > 1

• n > 9

• n > 1

Multiple Choice

• $$x\ \ge\ -10$$  

• $$x\ \le\ -10$$  

• $$x\ \le\ 10$$  

• $$x\ \ge\ 10$$  

Multiple Choice

• $$x\ \le\ 9$$  

• $$x\ \ge\ 9$$  

• $$x\ \ge\ -9$$  

• $$x\ \le\ -9$$