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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: x ≤ 13.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What does it mean if x ≥ 15 in a real-world context?

Back

It means that x must be at least 15, such as the minimum age required for a driver's permit.

Front

What is the graphical representation of x < 5?

Back

A number line with an open circle at 5 and a line extending to the left.

Front

What is the difference between 'x > 3' and 'x ≥ 3'?

Back

'x > 3' means x is greater than 3, while 'x ≥ 3' means x is greater than or equal to 3.

Front

How do you graph the inequality x ≤ 4?

Back

Draw a number line, place a closed circle at 4, and shade to the left.