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WorksheetsINEQUALITIES AND INTERVAL NOTATION
Total questions: 26
Worksheet time: 52mins
Write the following solution in interval notation:
x ≥ -3
[ -3, ∞ )
( -3, ∞ )
( -∞ , -3 )
( -∞ , -3]
Write the following solution in interval notation:
z < 20
( -∞ , 20 )
( 20,∞)
( -∞ , 20)
( -∞ , 20]
Write the following solution in interval notation:
x ≥ 6
( -∾ , 6]
( -∾ , 6 )
( 6, ∾ )
[ 6, ∾ )
When graphing an inequality solution, what type of circle do I draw for the symbol:
> or <
open circle
closed circle
Why do I draw a closed circle when it's less than or equal to or greater than or equal to?
Because we are INCLUDING that solution
Because we are NOT INCLUDING that solution
Solve the inequality.
x + 5 ≤ 13
[8, ∞)
[18, ∞)
(-∞, 8]
(-∞, 18]
10 < 3x + 19
(-∞, 3)
(3, ∞)
(-∞, -3)
(-3, ∞)
Solve the inequality.
12 ≥ 15 - 6y
½ ≤ y
2 ≤ y
½ ≥ y
-2 ≥ y
5z - 2 < 13 + 2z
(5, ∞)
(-∞, 5)
(1, ∞)
(-∞, 1)
8 - 3k < 8(1 - 7k)
Which is a solution of...
5(v + 3) > 10 v - 10
(-∞, 5)
(5, ∞)
(-5, ∞)
(-∞, -5)
Solve the following inequality:
5−(4x−5)≤30
(-∞, -5]
(-∞, 10)
[-5, ∞)
[10, ∞)
Look at the Graph. Write the inequality in interval notation.
[-4, -1)
(-4, -1)
(-4, -1]
[-4, -1]
Complete la propiedad:
Una desigualdad cambia de sentido...
cuando se suman sus dos miembros por un mismo número negativo
cuando se multiplican sus dos miembros por un mismo factor negativo.
cuando se multiplican sus dos miembros por un mismo factor positivo
cuando se restan sus dos miembros por un mismo número positivo.
16x+4<−2x+6
x<0
x<91
x<−2
x<3
-8 ≤ x < 8
-9 < x ≤ -4
Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?
5x + 2.50 ≤ 20
2.50x + 5 < 20
2.50x + 5 ≤ 20
7.50x < 20
5(v + 3) - 10v > -10
What inequality is graphed?
-2 < x < 3
-2 ≤ x < 3
x >- 2 or x < 3
x ≥ -2 or x < 3
What inequality is graphed?
x > 2 and x ≤ -3
x > 2 and x < -3
x > 2 or x ≤ -3
x > 2 or x < -3
What inequality is shown?
x ≥ 7 OR x < 11
x ≤ 7 OR x > 11
7 ≤ x < 11
7 ≥ x > 11
Which compound inequality is graphed above?
5 < x < 9
9 < x > 5
5 ≤ x ≥ 9
5 ≥ x ≥ 9
Write the following solution in interval notation:
x ≥ -3
[ -3, ∞ )
( -3, ∞ )
( -∞ , -3 )
( -∞ , -3]
