Solving Linear Inequalities

Solving linear inequalities

-can be expressed as number line, interval notation or set notation -when multiplying/dividing by a negative number you must switch the sign (EX: <→>)

How to represent linear inequalities

1. Number line 2. Interval notation 3. Graphically (hard to see/tricky) 4. Set notation

Represent in interval notation a) x<5 b) x≥-2 c)-7≤x≤5

a) x∈(-∞,5) b) x∈[-2,∞) c) x∈[-7,5)

Number line

hollow dot=< or > solid dot=≤ or ≥

Interval notation

round bracket ( ): < or >, and always for ±∞ square bracket [ ]: ≤ or ≥

*pg. 213 #6bdef

see notes b/c had to ask mr wong

Graphically

use dotted lines for < or >

*Set notation from above question

{x∈R|x≤4}