If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

# Solving systems of inequalities word problem

Given a system of linear inequalities that models a context about making chairs and tables, Sal finds how many can be made.

## Want to join the conversation?

• Can two-variable linear inequalities (if you have two of them) be solved like systems of equations, with substitution and elimination, instead of just using the graphing method?
• I do not think so, when doing systems of equations we are just solving for the coordinates where both of the lines crosses. In systems of inequalities we solve for the area that results for overlaping the two inequalities. I might be wrong, so iam waiting for the answer aswell.
• How do you write a real world word problem for inequalities
• Say you have s grams of sugar and f grams of flower and you can make 1 batch of cookies for x and one batch of cupcakes for y how many of each can you make if you want to use up as much as you can?
(1 vote)
• So this is how I'm going to use this in real life huh
• Yep :) have fun making tables and chairs
(1 vote)
• how do you demonstrate that both x and y can not be negative numbers in any given problem using inequalities?
(1 vote)
• When a third of unknown number is added to two, the result is not greater than the number subtracted from one. Find the range of values of the number
(1 vote)
• Amended via comment
1/3 x + 2 ≤ 1 - x, add x and -2 to get 4/3x ≤ -1, multiply by reciprocal to get x ≤ - 3/4.
(1 vote)
• I found the zeroes and got a different answer. I got that she was short on boards, not nails. Maximum 8 tables for 150 nails. Am I right?
(1 vote)
• I think you got your answer by substituting C=0 into the first inequality. So, you found 1 point for the 1st inequality. It tells you nothing about the solution to the system of equations.

The problem gives you a specific ordered pair and asks you to determine if it satisfies both inequalities. It doesn't. Sal's work is the correct approach given the requirements stated for this problem.

Hope this helps.