Linear Inequalities TWO Variables

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What is a linear inequality in two variables?

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What does the symbol '<' indicate in a linear inequality?

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The symbol '<' indicates that the line is not included in the solution set, meaning the points on the line do not satisfy the inequality.

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What does the symbol '>' indicate in a linear inequality?

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The symbol '>' indicates that the line is not included in the solution set, meaning the points on the line do not satisfy the inequality.

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What does the symbol '≤' indicate in a linear inequality?

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The symbol '≤' indicates that the line is included in the solution set, meaning the points on the line satisfy the inequality.

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What does the symbol '≥' indicate in a linear inequality?

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The symbol '≥' indicates that the line is included in the solution set, meaning the points on the line satisfy the inequality.

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What type of line is used for inequalities with '<' or '>'?

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A dashed or dotted line is used for inequalities with '<' or '>' to indicate that the points on the line are not included in the solution.

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What type of line is used for inequalities with '≤' or '≥'?

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A solid line is used for inequalities with '≤' or '≥' to indicate that the points on the line are included in the solution.

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The solution set includes all values of x that are greater than -2, represented graphically as a dashed line at x = -2 with shading to the right.

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