Solving One-Step Inequalities
Solve the inequality and graph it on a number line.
x+5<7
X < 2
Solve the inequality.
5x-8>=-27
X ≥ 3 4/5
Write the number sentence as an inequality.
A number increased by 5 is greater than or equal to 7.
x + 5 ≥ 7
Every month, the bank withdraws $15 from Betsy’s checking account as a service fee. Betsy has budgeted $75 for the next few service fees. For how many months will the service fee be covered? Write an inequality to find the solution.
15x ≤ 75
Solve the inequality and graph it on a number line.
-9<=x-4
x ≥ -5
Solve the inequality.
-8x-17<11
X> -3 1/2
Write the number sentence as an inequality.
Twice a number decreased by 1 is less than 5.
2x - 1 < 5
A video-game enthusiast saved $750 to spend on a video game player and games. The player costs $400. The games cost $49 each. Write an inequality for the most number of games the enthusiast buy along with the player.
49x + 400 ≤ 750
Solve the inequality and graph it on a number line.
6x> -36
X > -6
Solve the inequality.
23> -1/2x+1
X > -44
Write the number sentence as an inequality.
Negative 7 is no more than half of a number increased by 9.
-7 ≤ 1/2(x + 9)
OR
1/2(x+9) ≥ -7
There are 125 members in the school marching band. The band wants to raise $25,000 for a trip to a national competition. The school agreed to contribute $5,000 towards the trip. Write an inequality that shows the amount of money that each band member should raise.
125x + 5000 ≥ 25000
Solve the inequality and graph it on a number line.
-1/3x>=-2
X ≤ 6
Solve the inequality.
-3 < 4/5x+5
X > -10
Write the number sentence as an inequality.
Three times a number is at least 7 increased by twice that same number.
3x ≥ 7 + 2x
An employee of a car wash earns $12 for each car she washes. She always saves $50 of her weekly earnings. This week, she wants to have at least $100 in spending money. Write an inequality fewest number of cars she must wash.
12x+50≥100
Solve the inequality and graph it on a number line.
8<-2/3x
X < -12
Solve the inequality.
-9x-(-8)> -1
X < 1
Write the number sentence as an inequality.
Three times the difference of a number and 4 is at most four times that number increased by 9.
3(x-4) ≤ 4X + 9
Joaquim earns a salary of $4,000 per month plus a 6% commission on all of his sales. He wants to earn at least $7,000 next month. Write an inequality that shows what his total sales s must be in order for Joaquim to reach his goal.
4,000 + 0.06s ≥ 7,000