solving one step inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 26 < p + 28?

Back

Subtract 28 from both sides: 26 - 28 < p, which simplifies to -2 < p or p > -2.

Front

What is the solution to the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -15 + 13, which simplifies to y ≤ -2.

Front

When do we switch the inequality symbol?

Back

We switch the inequality symbol when multiplying or dividing both sides of the inequality by a negative number.

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, which simplifies to 24 > 21. This is true.

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers to the left of -4, not including -4 itself.