Solve and Graph 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'. It indicates that a value can be either greater than or equal to another value.

Front

How do you solve the inequality x + 3 > 7?

Back

Subtract 3 from both sides: x > 4.

Front

What does the solution x < -2 represent on a number line?

Back

It represents all numbers to the left of -2, not including -2 itself.

Front

What is the first step in solving the inequality 2x ≤ 10?

Back

Divide both sides by 2: x ≤ 5.

Front

How do you graph the inequality x > 5 on a number line?

Back

Draw an open circle at 5 and shade to the right.

Front

What does the solution x ≥ -5 indicate?

Back

It indicates that x can be -5 or any number greater than -5.

Front

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

Back

'>' means greater than (not including the number), while '≥' means greater than or equal to (including the number).

Front

How do you solve the inequality -3x < 9?

Back

Divide both sides by -3 and reverse the inequality: x > -3.

Front

What does the graph of x < 0 look like?

Back

It shows all numbers to the left of 0, with an open circle at 0.