1.7 Weekly Vocab./Review

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a set of values that satisfies all inequalities in the system simultaneously.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What does the inequality y > 2x - 4 represent graphically?

Back

It represents the region above the line y = 2x - 4, not including the line itself.

Front

What does the inequality y < 2 represent graphically?

Back

It represents the region below the horizontal line y = 2, not including the line itself.

Front

What is the significance of the boundary line in a system of inequalities?

Back

The boundary line indicates where the inequality changes from true to false. It is included in the solution if the inequality is '≤' or '≥'.

Front

How can you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality as a line, shade the appropriate region, and find the intersection of the shaded areas.

Front

What is the meaning of the expression 9x + 25y ≥ 200 in a real-world context?

Back

It represents a condition where the total earnings from two jobs must be at least $200.

Front

What does the expression x + y ≤ 16 represent in a work scenario?

Back

It represents the total number of hours worked at two jobs must not exceed 16 hours.

Front

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

Back

'>' means greater than and does not include the boundary, while '≥' means greater than or equal to and includes the boundary.

Front

What is a feasible region in the context of systems of inequalities?

Back

A feasible region is the area on a graph where all constraints of the system of inequalities are satisfied.