Inequalities

What is the solution set for the inequality x + 3 ≤ 10?

• x ≤ 5

• x ≤ 6

• x ≤ 7

• x ≤ 8

If x ≥ 15, what does this tell us about x?

• x is less than 15.

• x is exactly 15.

• x is either 15 or any number greater than 15.

• x is greater than 20.

What does the symbol '≥' mean?

• '≥' means 'less than or equal to'.

• '≥' means 'greater than'.

• '≥' means 'greater than or equal to'.

• '≥' means 'not equal to'.

How do you graph the inequality x < 5?

• Draw a number line, place an open circle on 5, and shade to the left.

• Draw a number line, place a closed circle on 5, and shade to the right.

• Draw a number line, place an open circle on 5, and shade to the right.

• Draw a number line, place a closed circle on 5, and leave it unshaded.

Solve the inequality: 2x > 12

• x > 4

• x > 5

• x > 6

• x > 7

How do you graph the inequality a ≥ 11?

• Draw a number line, place a closed circle on 11, and shade to the right.

• Draw a number line, place an open circle on 11, and shade to the left.

• Draw a number line, place a closed circle on 11, and shade to the left.

• Draw a number line, place an open circle on 11, and shade to the right.

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.

What is a real-world example of an inequality?

• A student must be at least 15 years old to obtain a driver's permit, represented as x ≥ 15.

• A person can only buy alcohol if they are 21 years old, represented as x < 21.

• A car can only go faster than 60 miles per hour, represented as x > 60.

• A student must score above 50% to pass a test, represented as x ≤ 50.

What does the symbol '≤' mean?

• '≤' means 'greater than or equal to'.

• '≤' means 'less than or equal to'.

• '≤' means 'equal to'.

• '≤' means 'not equal to'.

Solve the inequality: x - 4 < 8

• x < 10

• x < 11

• x < 12

• x < 14