Which are
solutions (using coordinates)
solutions (using coordinates)
Which ordered pairs are solutions to the inequality:
y < 2x - 1
(-3, -2) (1, -6) (1, -3) (3, 14)
(1, -6) & (1, -3)
In Antigonish, a sign says you can park on the curb for up to 30 minutes before getting towed.
What would this inequality look like?
P <= 30
What are 3 values of x that satisfy the inequality.
x + 3 >= 7
x can be any value greater than or equal to 4.
Ex: 4,5,6,7,8,9,…
What is the rule for multiplying and dividing by negative numbers when working with inequalities.
You have to flip the inequality sign every time that you multiply or divide by a negative number.
What does it mean to “substitute” in a value of x to solve an inequality?
It means placing a value in for x in order to prove the inequality is true.
Which ordered pairs are solutions to the inequality:
y >= -x + 4
(4, -1) (1, 3) (-8, 4) (11, 7)
(1, 3) & (11, 7)
In Canada, a child under 23 kg must ride in a car seat.
What would this inequality look like?
w < 23
Solve for x.
2x + 1 >= 3
x >= 1
Solve for y.
(y/-4) > -3
y < 12
You must be no more than 62inches tall to play on the playground.
Write the inequality.
h <= 62
Which ordered pairs are solutions to the inequality:
y<= 1/2x + 5
(-4, 1) (8, -6) (1, 6) (6, 8)
(-4, 1), (8, -6) & (6, 8)
A silicone oven mitt is heat resistant to temperatures up to 485 degrees C.
What does this inequality look like?
T <= 485
Solve for x.
1 - 5x > 21
x < -4
Solve for a.
-2.6a + 14.6 > -5.2 + 1.8 a
4.5 > a
A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $0.85 per kilometre.
a)Write the inequality.
b)Solve the inequality.
a) 375 + 0.85k > 450
b) k > 88.24
Which ordered pairs are solutions to the inequality:
y > 3x - 1
(5, 16) (2, 3) (-3, -10) (-8, 4)
(5, 16) & (-8, 4)
a <= -2
Is -15 a solution for this inequality?
Yes, -15 is a solution because it is less than -2.
Solve for m.
0 < (-2/3) + m
(2/3) < m
Solve for y.
10 - y <= 4
y >= 6
A business chooses a company to print a promotional brochure.
Company A charges $90 plus $0.50 per copy.
Company B charges $1500 plus $0.38 per copy.
a) Create inequalities for both companies
b) How many brochures must be printed for company B to be less expensive than company A?
(Bonus points if you solve!)
A: 90 + 0.50c
B: 1500 + 0.38c
90 + 0.50c > 1500 + 0.38c
Solved:
c > 11,750
How many solutions can a linear equation have?
How many solutions can a linear inequality have?
Linear equation as one solution.
Linear inequality can have many solutions.
Graph v >= 3 on a number line.
Arrow should be facing to the right, with a filled in circle at 3.
Solve for y.
2y + 13.3 >= y - 24.1
y >= -37.4
Solve for x.
10.5x + 16 <= 12.5x + 12
1.6 <= x
Ruby set a goal of saving at least $200.
She currently has $60, and will invest an additional $5 per week from her allowance.
a) Create a linear inequality.
b) Solve the inequality.
60 + 5w >= 200
w >= 28 ( it will take 28 weeks or more to reach her goal).