Solving inequalities using addition or subtraction

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 or equal to'.

Front

How do you solve the inequality k - 14 ≤ -10?

Back

Add 14 to both sides: k ≤ 4.

Front

What is the first step to solve the inequality 8 - x > 18?

Back

Subtract 8 from both sides: -x > 10.

Front

What is the solution to the inequality x < 10?

Back

The values of x that are less than 10.

Front

How do you write an inequality for the area of a house if the total area must be at most 3000 square feet and the garage is 528 square feet?

Back

a ≤ 3000 - 528, which simplifies to a ≤ 2472 square feet.

Front

What does it mean if an inequality is 'not true' for a given value?

Back

It means that substituting the value into the inequality does not satisfy the condition.

Front

How do you find the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Front

If the length of a rectangle is 5 feet and the perimeter is less than 15 feet, what inequality represents the width?

Back

2(5 + x) < 15, which simplifies to x < 2.5.