inequality word problems

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥ to show that one expression is less than, greater than, or equal to another.

You use the < symbol. For example, if x is less than 5, it is written as x < 5.

The symbol '≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

You can write an inequality using the form: rate × time ≥ desired amount. For example, if someone earns $15 per hour and wants to earn at least $105, it would be written as 15h ≥ 105.

The first step is to isolate the variable on one side of the inequality.

Subtract 30 from both sides: s ≤ 15.

It represents that twenty-two more than four times a number n is less than 82.

You can express it as: profit per item × number of items sold ≥ desired profit.

You can write the equation: m + 2 = 18, where m is your age.

To find x, divide both sides by 5.50: x ≥ 950.