Be careful!
If your solution has the variable on the right, you must reverse the inequality symbol when you give the solution with the variable on the left.
Example: 15 > x is the same as x < 15.
Match Time!
Match the inequality with its solution set or graph.
Quick Practice:
Write an inequality for each and solve. Be sure to check your solution for reasonableness.
Jim is three years older than his cousin Bob. Jim’s age is less than 21. How old is Bob?
B ≥ 18, Bob is less than 18.
The sum of a number and 40 is no less than 99. What is the number?
x ≥ 59. The number is greater than or equal to 59.
A male elephant’s height at birth is around 2.5 feet. If an adult male elephant’s height can be up to 13 feet, how many feet can it be expected to grow during its lifetime?
g ≤ 10.5, it can grow up to 10.5 feet.
The local bank in Miniville requires a minimum balance of $500. If Marilyn knows that she must write checks for $345 for rent and $125 for electricity, how much should she have in her account before writing the checks?
b ≥ 970, so she must have at least $970 as a balance before writing the checks.
The length of the parallelogram shown is greater than the height. What are the possible values of x?
17 > x or x < 17, so the value of x must be less than 17.