LT.5: Students graph linear inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

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

Back

'≥' means 'greater than or equal to', indicating that the values satisfying the inequality can be equal to or greater than the expression.

Front

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

Back

'≤' means 'less than or equal to', indicating that the values satisfying the inequality can be equal to or less than the expression.

Front

How do you determine if a line is solid or dashed in a graph of a linear inequality?

Back

Use a solid line for '≥' or '≤' (inclusive) and a dashed line for '>' or '<' (exclusive).

Front

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

Back

Shading above a line indicates that the solutions to the inequality are all the points above the line, typically used for inequalities with '>' or '≥'.

Front

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

Back

Shading below a line indicates that the solutions to the inequality are all the points below the line, typically used for inequalities with '<' or '≤'.

Front

How do you graph the inequality $y > 3x + 7$?

Back

1. Graph the line $y = 3x + 7$ using a dashed line. 2. Shade above the line.

Front

How do you graph the inequality $y$ with many spaces?

Back

1. Graph the line $y$ using a dashed line. 2. Shade above the line.