System of Linear Inequalities Word Problems Part 1

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you write an inequality for a situation where a total must be at least a certain amount?

Back

You use the '≥' symbol. For example, if a team needs to raise at least $240, the inequality would be x + 2y ≥ 240.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

How do you write an inequality for a situation where a total must be less than a certain amount?

Back

You use the '<' symbol. For example, if spending must be under $1000, the inequality would be 14x + 5y < 1000.

Front

What is the standard form of a linear inequality?

Back

The standard form of a linear inequality is typically written as Ax + By < C, Ax + By ≤ C, Ax + By > C, or Ax + By ≥ C, where A, B, and C are constants.

Front

How do you represent a situation where someone has saved more than a certain amount?

Back

You use the '>' symbol. For example, if Addie saved more than $36, the inequality would be s > 36.

Front

What is the difference between '>' and '≥' in inequalities?

Back

'>' means strictly greater than, while '≥' means greater than or equal to.

Front

How do you set up an inequality for a budget constraint?

Back

Identify the costs involved and set up an inequality that represents the total cost being less than or equal to the budget.

Front

What is the significance of the slope in a linear inequality graph?

Back

The slope indicates the rate of change between the two variables in the inequality, affecting the direction of the boundary line.