Solving Inequalities on a Number Line

What is the first step in solving an inequality similar to an equation?

• Isolate the variable

• Draw a number line

• Add a constant to both sides

• None of the above

When solving '3x - 5 < 7', what is the value of x?

• x < 6

• x < 5

• x < 4

• x < 3

How do you treat inequalities with variables on both sides?

• Combine like terms

• Subtract the smaller variable from both sides

• Eliminate one variable

• All of the above

What is the correct way to solve '6x + 1 ≥ 2x + 11'?

• Add 2x to both sides

• Subtract 2x from both sides

• None of the above

• Divide both sides by x

What does an open circle on a number line represent?

• None of the above

• The solution is undefined

• x is included in the solution

• x is not included in the solution

What does a closed circle on a number line indicate?

• x is included in the solution

• The solution is undefined

• None of the above

• x is not included in the solution

What is the correct representation for 'x < 3' on a number line?

• Closed circle at 3, arrow pointing left

• Open circle at 3, arrow pointing left

• Open circle at 3, arrow pointing right

• Closed circle at 3, arrow pointing right

In the inequality '2x + 4 > -2', what is the simplified form of x?

• x > 1

• x > 3

• x > -1

• x > -3

How do you solve an inequality with an additional term next to x?

• None of the above

• Add the term to both sides

• Subtract the term from both sides

• Multiply both sides by the term

For the inequality 'x > -1', which integer values satisfy this condition?

• -1, 0, 1, 2

• All integers greater than -1

• 0, 1, 2, 3

• 1, 2, 3, 4