Solving Inequalities with +-*/
What signs are used in inequalities?
<, >, less than or equal to, greater than or equal to.
3c-7<11
c<6
What word does a union use?
or
What symbols are used for absolute value?
| |
What does a solid line of a graph represent?
Includes the boundary, <=, >=
Solve x-9<-4
x<5
(x/3)-6>-4
x>6
What word does and represent?
Intersection
What does absolute value mean?
What does a dashed line represent?
< >, boundary not included
Solve x+3/4>1/3
x>-5/12
21>15+2a
a<3
Solve the compound inequality.
m-3<6 and m+2>4
2<m<9
Solve |p-5|<3
2<p<8
Graph y>x-3
See Ms. Reyling
Drew currently has 31 comic books in his collection. His friend Connor has 58 comic books. How many more comic books does Drew need to add to his collection in order to have a larger collection than Connor?
at least 28 comic books
Four times a number decreased by 6 is less than -2. What does this look like?
4x-6<-2
Write an inequality for the graph on the board.
x<=-2 or x>=3
Solve the inequality.
|(4b-2)/3|<12
-17/2<b<19/2
Graph 2x+3y>=12
See Ms. Reyling
-2/3x>24
x<-36
4(3t-5)>8t+3
t>4
Graph the compound inequality.
-5<3p+7<22
See my paper
A sporting store is offering a $15 coupon on any pair of shoes. If the most and least expensive pairs of shoes are $149.95 and $24.95, what is the range of costs for customers with coupons?
9.95<=p<=134.95
Ben has $24 to spend on cookies and cupcakes. Cookies are $2 and cupcakes are $3. Write and graph an inequality that represents what Ben can buy.
2x+3y<=24
See Ms. Reyling