Solving 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

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 6y ≤ 18?

Back

Divide both sides by 6: y ≤ 3.

Front

What is the solution to the inequality 6x + 14 ≥ 20?

Back

Subtract 14 from both sides: 6x ≥ 6, then divide by 6: x ≥ 1.

Front

Write an inequality for the statement: The sum of a number and 19 is at least 8.2.

Back

n + 19 ≥ 8.2.

Front

What is the solution to the inequality 14 + y > 5?

Back

Subtract 14 from both sides: y > -9.

Front

How do you isolate the variable in the inequality a - 5 = -12?

Back

Add 5 to both sides: a = -7.

Front

What does it mean to 'solve an inequality'?

Back

To find all values of the variable that make the inequality true.

Front

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

Back

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