7.3 Linear Inequalities Word Problems Quick Check

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 (>, <, ≥, ≤).

Front

How do you write an inequality from a word problem?

Back

Identify the quantities involved, determine the relationship between them, and express it using inequality symbols.

Front

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

Back

It means 'greater than or equal to'.

Front

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

Back

It means 'less than or equal to'.

Front

In the context of inequalities, what does 'solution' refer to?

Back

A solution is a set of values that satisfy the inequality.

Front

How do you determine if a point is a solution to a linear inequality?

Back

Substitute the point's coordinates into the inequality and check if the statement is true.

Front

What is the significance of the boundary line in a linear inequality graph?

Back

The boundary line represents the values where the inequality changes from true to false; it is solid for ≥ or ≤ and dashed for > or <.

Front

What is the first step in solving a linear inequality?

Back

Isolate the variable on one side of the inequality.

Front

How do you graph a linear inequality?

Back

Graph the boundary line and shade the region that satisfies the inequality.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true (intersection), while 'or' means at least one condition must be true (union).