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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality 14 + y > 5?

Back

Subtract 14 from both sides: y > 5 - 14, which simplifies to y > -9.

Front

What is the solution to the inequality w - 8 ≥ 5.6?

Back

Add 8 to both sides: w ≥ 5.6 + 8, which simplifies to w ≥ 13.6.

Front

How do you write an inequality for 'Four more than a number is more than 13'?

Back

The inequality is n + 4 > 13.

Front

What is the solution to the equation 21 + m = 33?

Back

Subtract 21 from both sides: m = 33 - 21, which simplifies to m = 12.

Front

What is the first step in solving the inequality a - 5 = -12?

Back

Add 5 to both sides: a = -12 + 5, which simplifies to a = -7.