Inequalities
Plot the inequality on the given number line. Toggle the "Dot" or "Open Dot" button to place the correct dot on your line before you submit your answer.
x > 3
1. Write the inequality using interval notation.
(3, inf)
Solve: |x - 8| <= 2
<= stands for "Smaller or equal to"
A. State your answer as a compound inequality:
B. State your solution using interval:
A. 6 <= x <= 10
B. [6 , 10]
Solve the following inequality:
y + 5 >= 4
1. Write the answer as an inequality
2. Write the answer as an interval
1. y >= -1
2. [-1, inf)
Solve: |4x - 3| + 3 > 7
State your solution using interval:
(-"inf" , -1/4) U (7/4 , "inf")
Solve the inequality:
-9x + 4 <= 13
1. Express in interval notation:
2. Express as an inequality:
1. [-1 , inf)
2. x >= -1
Solve: 5 |x - 4| + 3 > 9
State your solution using interval:
(-"inf" , 14/5) U (26/5 , "inf")
Solve the inequality and write your answer as an inequality and interval.
14x + 25 <= -24 + 2x
x <= -49/12
(-inf , -49/12]
Solve: 2 |3x + 8| + 12 <= 20
<= stands for "Smaller or equal to"
State your solution using interval:
[ -4 , -4/3 ]
Solve the inequality and write your answer in interval notation.
3 (19x + 8) + 7 >= 6 + 13x
[ - 25/44 , inf)
Solve: |4x + 2| <= -7
<= stands for "Smaller or equal to"
Give your answer as an interval. Enter DNE if the inequality does not have a solution.
DNE
But Why??