Word Problems
You buy five pens and spend less than $10. Solve the inequality to see how much each pen could cost.
5x<10
x<2
6x + 2+ 6x < 14
x<1
2n + 7 ≥ 27 or 3 + 3n ≤ 30
n ≥ 10 or n ≤ 9
-1 < 9 + n < 17
-10< n< 8
Mo rented a bike from Mark's Bikes. It cost $11 plus $6 per hour. If Mo paid more then $47, then he rented the bike for how many hours?
11+6x>47
x>6
-2m + 2 - 3 ≤ 9
m ≥ -5
IN: [-5, infinity)
7x - 5 ≥ 65 or -3x - 2 ≥ -2
x ≥ 10 or x ≤ 0
IN: (neg. infinity, 0] or [10, infinity)
-50 < 7k + 6 < -8
-8 < k < -2
Heather has $24 to spend on 1 magazine and some candy bars. If the magazine cost $4 and each candy bar cost $5, then how many candy bars can she buy?
4+5x leq 24
x leq 4
5(6 + 3x) + 7 ≥ 127
x ≥ 6
IN: [6, infinity)
-10x + 3 < -37 or 3x - 10 < -25
x > 4 or x<-5
IN: (neg. infinity, -5) or (4, infinity)
-36 < 3p - 6 < -15
-10 < p < -3
Half of Mike's baseball card collection got wet and was ruined. Mike bought 18 cards to replace some that were lost. How many did Mike begin with if he now has less than 50?
x/2 + 18 < 50
x<64
-8x + 2x - 16 < -5x + 7x
x > -2
IN: (-2, infinity)
3n + 2 ≤ -2 or 8n - 4< 3n - 4
n ≥ 1 or n < 0
IN: (neg. infinity, 0) or [1, infinity)
-33 ≤ -7n - 12 < -26
2 < n ≤ 3
You and a friend pool your money to go to Costa Rica. You are taking three plain rides to get to Costa Rica. On the first plane ride each ticket costs $200. The second flight each ticket costs $450. If you and your friend have $3000. How much can you and your friend each spend on a ticket.
200*2+450*2+2xleq 3000
1300+2xleq 3000
x leq 350
3(p - 3) - 5p > -3p - 6
p > 3
IN: (3, infinity)
8x - 5 ≥ 6x -1 or 4 + 4x ≤ 3x - 3
x ≥ 2 or x ≤ -7
IN: (neg. infinity, -7] or [2, infinity)
5x + 10 ≤ -4x -17 < 9 - 2x
-13 < x ≤ -3