Two-Step Inequalities
2x+3<9
x<3
3x+4x<21
x<3
x/3 +2>5
x>9
Which way do you shade the number line for x>4
right of 4
Maria needs at least 70 points to pass a test. She already has 45 points. Write an inequality for the points x she still needs.
x+45≥70
5x−4≥6
x≥2
2(x−1)+5≤11
x≤4
2/5x−1≤3
x≤10
What type of circle do you use for x≤−2
closed circle
A movie ticket costs $8. You have $50. Write an inequality for the number of tickets x you can buy.
8x≤50
−3x+7>1
x<2
4x−3x+7>10
x>3
3/4x +6<9
x<4
Graph x<0 on a number line. What is the starting point and which direction do you shade?
open circle at 0, shaded to the left
You need more than 60 minutes to finish a project. You have already worked 25 minutes. Write an inequality for the minutes x you still need to work.
x+25>60
−4x+8≥0
x≤2
2x+5≤3x−2
x≥7
(x−2)/2 ≥ 4
x≥10
For x≥5, what kind of circle and which direction on the number line?
closed circle at 5, shaded to the right
Write an inequality to represent “7 less than one sixth of a number is at most 45.
1/6n - 7 ≤ 45
0.5x−5≤3
x≤16
5x−2(x+3)<7
x< 3/13
2− x/6<1
x>6
Graph the solution to x>−3 on a number line.
open circle at -3, shaded to the right
A rectangle's length is x and its width is 4. If its perimeter must be less than 30, write an inequality for x.
2x+8<30