One Step Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater 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 9 ≤ h or h ≥ 9.

Front

What is the solution to the inequality 26 < f + 32?

Back

Subtract 32 from both sides: 26 - 32 < f, which simplifies to -6 < f or f > -6.

Front

How do you solve the inequality 15 > -5 + z?

Back

Add 5 to both sides: 15 + 5 > z, which simplifies to 20 > z or z < 20.

Front

What is the solution to the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -15 + 13, which simplifies to y ≤ -2.

Front

What does the solution set of an inequality represent?

Back

The solution set represents all possible values of the variable that make the inequality true.

Front

How do you graph the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What is the solution to the inequality x - 3 > -3?

Back

Add 3 to both sides: x > 0.