Solving Inequalities
Solve: 14+x>39
x>25 or 25<x
When the Inequality sign eats the variable your arrow points to the ____?
Right or BIG #s
Solve: 46+x=19
x=-27
James goes for a run. The run takes 35 minutes. Write an equation to find how many miles (m) he ran, if he knows he runs a mile every 7 minutes.
7m=35
Solve: 32≤4x
x≥8 or 8≤x
Match the Inequality Sign with what type of dot you would use on the Graph. (≤, ≥, <, >)
≥ and ≤ means ●
> and < means ○
Solve: 0.3x=3.3
x=11
Cara went to the store to buy groceries. When she got there she looked in her purse for money (m). She then bought her groceries for $72.28. When she got home she counted her money again and had $37.10. Write an equation to find out how much money she had before shopping.
m-72.28=37.10
Solve: x/5>-12
x>-60 or -60<x
Look at the Graph shown on the board, what inequality does it represent?
x > 3
Solve: -86=x-52
x=-34
Jimmy, Sam, & Eric go to the movies. Let t represent the cost for the tickets for the group of friends. If we know that each friend pays $37, what is an equation that can be used to find the Total Cost?
t/3=37
Solve: x+1/3<5/6
x<1/2 or 1/2>x
x<3/6 or 3/6>x (Forgot to simplify)
What does the graph look like for the Inequality: m≤9
Start at 9, closed dot, pointing to small #s (left)
Solve: 221=x-(-14)
x=207
Steve plans fly from the East Coast to the West Coast but isn't sure the best airline to use. He is unsure how long JetBlue's flight is, but has heard that it takes Southwest 219 minutes, which is 23 minutes less than JetBlue. Write an equation to represent the situation.
x-23=219
Solve: -3x≤27
x≥-9 or -9≤x
What does the graph look like for the Inequality: -21≤y/2
Start at -42, closed dot, pointing to BIG #s (right)
13/5+x=32/5
x=19/5
Ashley & 4 friends plan to go bowling. Let b represent the cost of bowling for the group. If we know it cost each friend $26 to bowl and rent shoes, what is an equation that can be used to represent the situation?
b/5=26