add/subtract
x + 8 is greater than or equal to 5
x is greater than or equal to -3
9x is less than 27
x is less than 3
Petra takes $15 to the roller skating rink to spend on skates and food. Suppose it costs $4.75 to rent roller skates. Write an inequality to represent the amount of money she can spend on food. Solve and interpret.
4.75 + f is less than or equal to 15
f is less than or equal to 10.25
She can spend at most $10.25 on food.
explain the graph of x - 6 is less than 13
x is less than 19
open circle shaded to the left
explain the solution and graph of c divided by 2 is greater than 3
c is greater than 6
open circle, shaded to the right
Nina earns $12.50 per hour. Write and solve an inequality to determine the number of hours Nina must work in a week to earn at least $250. Then interpret the solution.
12.5h is greater than or equal to 250
h is greater than or equal to 20
Nina must work at least 20 hours to meet her goal.
identify one solution to the inequality x + 2.5 is greater than 17.5
x is greater than 15
solutions include 16, 17, 18, ...
solve, graph, and determine a solution:
-11x is greater than or equal to 22
x is less than or equal to -2
closed circle shaded to the left
solve and graph:
-7x + 1 is greater than or equal to -20
x is less than or equal to 3
closed circle to the left
a) solve 0.8 + n is less than or equal to -2.5
b) explain the graph
c) give one solution and one non-solution
n is less than or equal to -3.3
closed circle shaded to the left
solve, graph, and determine a solution:
c divided by -7 is greater than or equal to 3
c is less than or equal to -21
closed circle shaded to the left
6.6z - 2.25 is less than or equal to -10.5
z is less than or equal to -1.25
a) -2/3 is greater than p - 3 and 5/6
b) explain the graph
c) give one solution and one non-solution
a) p is less than 3 and 1/6
b) open circle between 3 and 4, closer to 4, shaded to the left
solve, graph, and determine a solution:
-1.25b is less than -6
b is greater than 4.8
open circle between 4 and 5, closer to 5, shaded to the right
Lucy has already earned $30 walking dogs. She earns $3 per dog walked, and she needs at least $80 to buy more leashes. Write and solve an inequality to determine how many dogs Lucy will need to walk to earn at least $80. Then interpret the solution.
30 + 3d is greater than or equal to 80
d is greater than or equal to 16.6666
Lucy will need to walk at least 17 dogs.