Homework Graphing Inequalities and Solutions

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 it mean for a point to be a solution to an inequality?

Back

A point is a solution to an inequality if it satisfies the inequality when the coordinates of the point are substituted into the inequality.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set (≥ or ≤), while a dotted line indicates that points on the line are not included (> or <).

Front

How do you determine if a point is in the shaded region of a graph?

Back

To determine if a point is in the shaded region, substitute the point's coordinates into the inequality. If the inequality holds true, the point is in the shaded region.

Front

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

Back

'≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to the number.

Front

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

Back

'>' means 'greater than', indicating that the value must be strictly greater than the number.

Front

What is the slope-intercept form of a linear equation?

Back

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Front

What does it mean if a point lies on the line of an inequality?

Back

If a point lies on the line of an inequality with a solid line, it is included in the solution set. If the line is dotted, the point is not included.

Front

How can you identify a point that is NOT part of the solution set?

Back

A point that does not satisfy the inequality when substituted into it is not part of the solution set.