Add or Subtract
Solve for x: x - 10 > 35
x > 45
Solve for x: 6x > 18
x > 3
If x > 4, can x = 4?
No.
If your inequality says "greater than", write the symbol.
>
Write an inequality: You have to be older than 7 years of age to join.
x > 7
Solve for x: x - 1 < -3
x < -2
Solve for x: x/5 < 3
x < 15
If x < -9, can x = -10
Yes.
If your inequality says "less than or equal to", which kind of circle should you use (open or closed)?
Closed
Write an inequality: The temperature will fall below 30 degrees.
x < 30
Solve for x: -3 > -5x - 16
x > -13/5
Solve for x: 4 > x/6
x < 24
If 2 < x/4, can x = 7?
No; x > 8
What symbol should you use to show "at least"?
The greater than or equal to symbol.
Write an inequality: Last Monday, there was at least 3 inches of rain.
x (greater than > or = to symbol) 3
Solve for x: 6x > -11 + x
x > -11/5
Solve for x: 17 < 2(x-7)
31/2 < x
If 2x < 14, can x = 3?
Yes; x < 7
What symbol should you use when saying "at most"?
The less than or equal to symbol.
If x/4.2 < 3.5, can x = 14?
Yes; x < 14.7 and 14 is less than 14.7
To advance to the next level of the competition, Rachel must earn more than 180 points. She has already earned 145 points. Write an ineqaulity to represent the number of points she needs.
x > 35
Solve for x: 3x > 2(x+1)
x > 2
You need $10 more than 5 years less than twice your age. Write an inequality to represent this sentence.
2x - 5
If 26 < 4x, can x = 6?
No; x > 6.5 and 6 is less than 6.5