Word Problems Inequalities
The product of three times a number is less than negative eighteen.
x > -6
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Seven more than two times a number is eleven
x=2
x + 10 = 15
x=5
-76< 4x
x > -19
Thomas has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Thomas withdraw money from his account?
12 weeks
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The difference of Andrew’s height and 12 is 42
x=30
x/ 2 - 1= 2
x=6
7x - 10 ≥ 18
x ≥ 4
Two less than four times a number is greater than or equal to eighteen.
x ≥ 5
Six more than the quotient of a number and negative three is ten.
x=-12
3x -2 = 61
x=21
x/13 + 7 ≥ 228
x ≥ 2873
Three more than the quotient of a number and 4 is less than or equal to negative 7.
x ≤ -40
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Seven less than the product of three times a number is negative ten.
x= -1
-2(3+ x)= 12
x = -9
4-3x > -20
x < 8
Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute. Write an inequality that shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.
x ≤ 100
The Lees sold a valuable painting for $55,000. This price is $1,000 more than twice the amount they originally paid for it. How much did they originally pay? (Write and equation and solve).
x=27,000
-4( x+ 9)= 36
x = -18
65 ≤ 5(6-x)
x ≤ -7