One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality: 24 ≤ h + 15?

Back

Subtract 15 from both sides: 24 - 15 ≤ h, which simplifies to h ≥ 9.

Front

What is the solution to the inequality: -4 + y < -8?

Back

Add 4 to both sides: y < -8 + 4, which simplifies to y < -4.

Front

What does it mean to isolate the variable in an inequality?

Back

Isolating the variable means manipulating the inequality to get the variable on one side and the constant on the other.

Front

How do you graph the solution of an inequality?

Back

Use a number line: draw an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side.

Front

What is the solution set of the inequality: a ≥ -104?

Back

The solution set includes all numbers greater than or equal to -104.

Front

What is the solution to the inequality: 15 > -5 + z?

Back

Add 5 to both sides: 20 > z, which can be rewritten as z < 20.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.