Graphing Inequalities Flashcards

GCSE Mathematics (Edexcel) 1MA1

Inequality symbols

< means 'less than', > means 'greater than', ≤ means 'less than or equal to', and ≥ means 'greater than or equal to'.

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Inequality symbols

< means 'less than', > means 'greater than', ≤ means 'less than or equal to', and ≥ means 'greater than or equal to'.

Solid line in graphing inequalities

A solid line is used when the inequality includes '≤' or '≥', meaning the boundary is included.

Dashed line in graphing inequalities

A dashed line is used when the inequality includes '<' or '>', meaning the boundary is not included.

Shading for y > mx + c

Shade the region above the line y = mx + c, as y is greater than the line.

Shading for y < mx + c

Shade the region below the line y = mx + c, as y is less than the line.

Graphing x > a

Draw a vertical dashed line at x = a and shade the region to the right of the line.

Graphing x ≤ a

Draw a vertical solid line at x = a and shade the region to the left of the line.

Graphing y ≥ b

Draw a horizontal solid line at y = b and shade the region above the line.

Testing a point in graphing inequalities

Substitute the coordinates of a point into the inequality to check if it satisfies the inequality.

Region satisfying multiple inequalities

The solution is the overlapping shaded region that satisfies all the inequalities.

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