Solving Inequalities
2x+4 > 10
x > 3
1 < x+2 < 6
-1 < x < 4
List a possible value of x if x < 5
Sample answers: 1, 2, 3
x is less than 9
x < 9
In a litter of kittens, each one weighs less than 3 ounces.
x < 3
−3x+5 ≤ 14
x >= -3
−2 < 2x+2 < 6
-2 < x < 2
List a possible value of x if
x >= 9
Sample answers: 9, 10, 11
7 is greater than x
7 > x
José needs at least 6 tickets in order for his whole family to go to the baseball game.
x>=6
2x + 3 ≤ x + 5
x <= 2
3 ≤ 4x−1 ≤ 11
1 <= x <= 3
List three possible values for x if 4 < x < 9
Sample answers: 5, 6, 7
The sum of x and 4 is less than 28
x + 4 < 28
Xander's mom said he could have no more than two cookies.
x<=2
5 − 3(2x+1) < −10
−5 < −2x+1 ≤ 7
3 > x >= -3
List three possible values for x if
-3<x<=3
Sample answer: 1, 2, 3
The quotient of x and 6 is at least 12
x/6 >= 12
An Uber charges a $6 base fee plus $5 per mile. I can't spend more $31 on rides or I'll be over budget.
6 + 5x<=31
3(x – 3) – 5x > -3x -6
x > 3
−10 ≤ −2(x−3) < 6
8 >= x > 0
List three possible solutions if
2 > x>= -1
Sample answers: -1, 0, 1
5 subtracted from x is at most 14
x - 5<=14
Maddie has 85 GB of space on her hard drive. She's downloading games that are 10 GB each. Maddie needs to have more than 15 GB left after downloading games.
85 - 10x < 15