Graphing Inequalities (two-variables)

Front

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.

Tags

CCSS.HSA.REI.D.12

Front

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.

Front

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.

Tags

CCSS.6.EE.B.8

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.6.EE.B.8

Front

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

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

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

Tags

CCSS.HSA.REI.D.12

Front

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

Back

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.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

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.

Tags

CCSS.HSA.REI.D.12