Solution to Inequalities
Which of the following are solutions to the following inequality:
x > 2
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
3, 4, 5
Marcel has 2 highlighters, his friend gives him a few more and in the end he has 10 total.
Equation: _______________
Solution: _______________ highlighters
Equation: 2+h=10 or h+2=10
Solution: 8 highlighters
Find the solution to the equation:
x - 8 = 10
x = 18
Graph x < 1
Open dot on 1 with the arrow pointing left
5 3/4
Which of the following are solutions to the following inequality:
x ≥ 0
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
0, 1, 2, 3, 4, 5
Maria makes flower bouquets for her business. She uses 8 flowers per bouquet. If she uses 32 flowers total, how many bouquets did make.
Equation:________________
Solution:________________ bouquets
Equation: 8b=32
Solution: 4 bouquets
Find the solution to the equation:
x + 6.7 = 10.9
x = 4.2
Graph x ≥ 5
Closed dot on 5 with the arrow pointing right
What is the solution to the following equation? Guess, check, revise.
a – 9.7 = 13.3 ?
Options: 23, 24, 25
a = 23
Which of the following are solutions to the following inequality:
x ≤ -2
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
-5, -4, -3
Marcel had some coins. His friend stole 50 cents away from him and he was left with 15 cents. How many cents did he have originally.
Equation: _______________
Solution: _______________ cents
Equation: c-50=15
Solution: 65 cents
Find the solution to the equation:
x – 4¼ = 9¾
x = 14
Graph x < -2
Open dot on -2 with the arrow pointing left
Is the value x = 8 a solution to the equation?
(2x - 10)2 = 12
No, 36 ≠ 12
Write at least three solutions for the following inequalities:
x < 4
Anything less than 4, this does not include 4 because it is less than not less than or equal to
A teacher has 3 boxes that she filled with crayons. She used 24 crayons total, how many crayons went into each box?
Equation: ______________________
Solution: ________________ crayons
Equation: 3c = 24
Solution: 8 crayons
½x = ⅕
x = 2 1/2
Graph x ≤ 3.5
Closed dot between 3 and 4 on 3.5 with the arrow pointing left
Divide the following decimal equation:
5 ÷ 6.25
1.25
Write at least three solutions for the following inequalities:
x ≥ -15
Anything greater than -15 including 15 (if you chose negative numbers, they have to be closer to 0 than -15 is)
A total amount of money is shared among 4 friends. Each ends up with $13. How much money was there at first?
Equation: _________________
Solution: $_____________
Equation: m ÷ 4 = 13
Solution: $52
Find the solution to the equation:
x/3 = 2/5
x = 1 1/5
x > -4½
Open dot half way between between -4 and -5 with the arrow pointing right
Use substitution to determine if the two equations are equal.
4(2x + 3) = 6x + 12
The equations are not equal