Solving 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 'less than or equal to'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

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 x + 0.7 > -0.3?

Back

Subtract 0.7 from both sides: x > -1.

Front

Write an inequality for the statement: 'Four more than a number is more than 13'.

Back

n + 4 > 13.

Front

What is the solution to the equation 3(n - 7) = -30?

Back

n = -3.

Front

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

Back

Add 5 to both sides: a = -7.

Front

What does it mean to 'isolate the variable'?

Back

To isolate the variable means to get the variable alone on one side of the equation.

Front

What is the first step in solving the inequality 2x + 3 > 11?

Back

Subtract 3 from both sides: 2x > 8.