More Than
Part of the Inequalities & Absolute Value section of Coddy's Algebra journey. Lesson 56 of 64.
You have 12 saved and add 5 every week. After how many weeks will you have more than 42? The savings after x weeks are 12 + 5x, and "more than 42" is a strict >:
12 + 5x > 42
5x > 30
x > 6
Strictly more than 6 weeks, so the first week that works is week 7. Whether the endpoint counts is the whole difference between "more than" and "at least", and in a story it is the difference between week 6 and week 7.
Read the phrase twice: the quantity on the left of the sign, the limit on the right, and the sign decided by the words. Then it is the algebra you know.
Challenge
MediumA taxi charges 20 to start and 4 for every kilometer. For which trips does the fare pass 56? Write the inequality, using x for the kilometers. Do not solve it.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Inequalities & Absolute Value
1What an Inequality Is
The Four SignsA Picture on a LineClosed or OpenReading It BackwardsRecap: What an Inequality Is4Two-Step Inequalities
Two StepsSubtract, Then FlipWith a FractionA Bracket on the WayRecap: Two-Step Inequalities2Adding and Subtracting
Add to Both SidesSubtract from Both SidesNegatives in the MixSolve, Then DrawRecap: Adding and Subtracting5Variables on Both Sides
x on Both SidesGather Toward the LargerBrackets FirstAlways True, Never TrueRecap: Variables on Both Sides11From Words to Inequalities
At Least, At MostMore ThanA Budget That ShrinksTwo LimitsRecap: From Words3Multiplying and Dividing
Divide by a PositiveMultiply by a PositiveThe FlipDividing by a NegativeNegative FractionsRecap: Multiply and Divide6Graphing Solutions
From Inequality to PictureIs the Endpoint In?A Flip on the LineRecap: Graphing Solutions