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

'≥' 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 -3x ≥ 9?

Back

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

Front

What is the solution to the inequality 6 > x?

Back

The solution is x < 6.

Front

How do you check if a value satisfies an inequality?

Back

Substitute the value into the inequality and see if the statement is true.

Front

What is the solution to the inequality x + 9 > 21 when x = 15?

Back

True, because 15 + 9 = 24, which is greater than 21.

Front

What is the first step in solving the inequality 32 ≥ -16p?

Back

Divide both sides by -16 and reverse the inequality sign: p ≤ -2.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that can satisfy the inequality.

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, usually by adding, subtracting, multiplying, or dividing.