One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality y - 13 ≤ -15?

Back

To solve for y, add 13 to both sides: y ≤ -15 + 13, which simplifies to y ≤ -2.

Front

What is the solution to the inequality r - 14 ≥ 17?

Back

To solve for r, add 14 to both sides: r ≥ 17 + 14, which simplifies to r ≥ 31.

Front

What is the rule when multiplying or dividing both sides of an inequality by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

What is the difference between an open dot and a closed dot on a number line?

Back

An open dot indicates that the boundary point is not included in the solution (for < or >), while a closed dot indicates that the boundary point is included (for ≤ or ≥).

Front

What is the first step in solving a one-step inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

Can you provide an example of a one-step inequality?

Back

An example of a one-step inequality is x + 5 > 10.

Front

How do you graph the solution of the inequality x < 4?

Back

You would place an open dot at 4 and shade to the left, indicating all numbers less than 4.