One-Step
Solve the inequality:
8+x≥12
x≥4
Solve the inequality:
5x−3≥25
x≥1
Graph the inequality:
x<4
<====o------>
4
A budget must not exceed $500. If you already spent $150, write and solve the inequality for your remaining expenses x.
500>x+150
x<$350
What are the key symbols used in inequalities, and what do they represent?
<, >, ≤, ≥ ; less than, greater than, less than or equal to, greater than or equal to
Solve the inequality:
3−x≥0
x≤3
Solve the inequality:
3x+2>14
x>4
Graph the inequality:
x≤ -2
<=====x----->
-2
The sum of a number and 8 is less than 15. Write the inequality and solve.
x+8<15
x<7
Why is it important to graph inequalities?
Graphing inequalities provide a visual representation of multiple solutions
Solve the inequality:
6x≤30
x≤5
Solve the inequality:
6−2x≤−5
x≥ 11/2
Graph the inequality:
2x>6
<-----o=====>
3
A student scored at least 75 points on a test, which is represented as x. Write the inequality and solve.
x≥ 75
What does it mean for a solution to be a part of the solution set?
A solution is part of a solution set if it is one possible answer to a problem
Solve the inequality:
-4x<12
x>-3
Solve the inequality:
3(x−2)+4<2(x+1)+5
x<9
Graph the inequality:
3x-4≥ 12
<-----x=====>
16/3
Twice a number is decreased by 3 and is greater than 5. Write the inequality and solve.
2x-3>5
x>4
How do you know when to flip the inequality sign?
We must flip the inequality sign when we multiply or divide by a negative number
Solve the inequality:
3-x>9
x<-3
Solve the inequality:
2x+5≥3x−7
x≤12
Graph the inequality:
4-x+3≤ 2(x+4)
<-----x=====>
1
The temperature must be below 50°F for a winter storm warning. The temperature today is 24°F less than twice yesterday's temperature. If there is a winter storm warning today, what temperatures were possible yesterday? Write the inequality and solve.
2x-24<50
x<37°F
What is the difference between an inequality and an equation?