Graphing Inequalities (two-variables)

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What is an inequality in two variables?

Back

An inequality in two variables is a mathematical statement that compares two expressions using inequality symbols (like <, >, ≤, or ≥) and involves two variables, typically x and y.

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

Back

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

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

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.

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Front

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

Back

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

Front

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

Back

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How do you find the y-intercept of an inequality?

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To find the y-intercept of an inequality, set x = 0 in the equation of the line and solve for y.

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What does it mean to shade above a line in a graph?

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Shading above a line indicates that the inequality is 'greater than' (>) or 'greater than or equal to' (≥), meaning the solution includes all points above the line.

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What does it mean to shade below a line in a graph?

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Shading below a line indicates that the inequality is 'less than' (<) or 'less than or equal to' (≤), meaning the solution includes all points below the line.