What are linear inequalities?

Linear inequalities are like rules for how much you can have, just like when your mom says you can eat as many cookies as you want, but only if you finish your veggies first.

Imagine you're at the store with a piggy bank that has $10 in it. You want to buy candy bars and lollipops. Each candy bar costs $2, and each lollipop costs $1.

A linear inequality is like saying:

"I can spend up to $10 on candy bars and lollipops."

This can be written as:

2x + y ≤ 10,

where x is the number of candy bars and y is the number of lollipops.

It’s not exactly a math spell, it's more like a rule that helps you figure out what you can buy without going over your budget. You could have 3 candy bars and 4 lollipops, or just 1 candy bar and 8 lollipops, as long as the total is less than or equal to $10.

You’re not being limited, you're just playing by a fun rule that helps you make smart choices. Linear inequalities are like rules for how much you can have, just like when your mom says you can eat as many cookies as you want, but only if you finish your veggies first.

Imagine you're at the store with a piggy bank that has $10 in it. You want to buy candy bars and lollipops. Each candy bar costs $2, and each lollipop costs $1.