U2.20 Writing Inequalities from Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, m > 17 means m is greater than 17.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 3 means y is less than or equal to 3.

Front

How do you write an inequality from a word problem?

Back

Identify the key quantities and relationships in the problem, then express them using inequality symbols based on the conditions given.

Front

If Triniti wants to have at least $200 left after withdrawals, which inequality represents her situation?

Back

500 - 25x ≥ 200.

Front

What is the first step in solving an inequality?

Back

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

Front

How do you graph an inequality on a number line?

Back

Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that satisfies the inequality.

Front

What is the solution set of an inequality?

Back

The solution set is the set of all values that make the inequality true.