Solving 1-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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 y + 7 ≥ 12?

Back

Subtract 7 from both sides: y ≥ 5.

Front

What is the solution to the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 31.

Front

How do you check if a value satisfies the inequality x + 9 > 21 when x = 15?

Back

Substitute 15 into the inequality: 15 + 9 > 21 is true.

Front

What is the solution to the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

What does a closed circle on a number line represent?

Back

A closed circle represents that the number is included in the solution (≤ or ≥).

Front

What does an open circle on a number line represent?

Back

An open circle represents that the number is not included in the solution (< or >).

Front

If x + 9 > 21, what is the minimum value of x?

Back

x must be greater than 12.