Solutions to Inequalities

What is an inequality?

• A mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

• A type of equation that shows equality between two expressions.

• A graphical representation of a function.

• A method for solving linear equations.

How do you solve the inequality '6 > x'?

• x > 6

• x < 6

• x = 6

• x ≤ 6

What is the difference between 'x ≥ 5' and 'x > 5'?

• 'x ≥ 5' includes 5, while 'x > 5' does not include 5.

• Both 'x ≥ 5' and 'x > 5' include 5.

• 'x > 5' includes 5, while 'x ≥ 5' does not include 5.

• 'x ≥ 5' is a stricter condition than 'x > 5'.

What does the graph of 'x > 5' look like?

• An open circle at 5 with a line extending to the right.

• A closed circle at 5 with a line extending to the left.

• A solid line starting from 5 and extending to the right.

• An open circle at 5 with a line extending to the left.

How do you represent the inequality 'x > 5' on a number line?

• Draw an open circle at 5 and shade to the right to indicate all numbers greater than 5.

• Draw a closed circle at 5 and shade to the left to indicate all numbers less than or equal to 5.

• Draw an open circle at 5 and shade to the left to indicate all numbers less than 5.

• Draw a closed circle at 5 and shade to the right to indicate all numbers greater than or equal to 5.

If 'a ≥ 11', what is the smallest value of 'a'?

• 10

• 11

• 12

• 9

What does the symbol '≤' mean in inequalities?

• 'Greater than or equal to'

• 'Less than'

• 'Less than or equal to'

• 'Equal to'

How do you determine which graph represents 'a < 11'?

• Look for a graph with an open circle at 11 and shading to the left.

• Look for a graph with a closed circle at 11 and shading to the right.

• Look for a graph with an open circle at 11 and shading to the right.

• Look for a graph with a closed circle at 11 and shading to the left.

What does the graph of 'x ≤ -5' look like?

• A closed circle at -5 with a line extending to the left.

• An open circle at -5 with a line extending to the right.

• A closed circle at -5 with a line extending to the right.

• A dashed line at -5 with no circle.

What does the symbol '>' mean in inequalities?

• 'Less than'

• 'Equal to'

• 'Greater than'

• 'Not equal to'