Solving Linear Inequalities
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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}