Solving One-Step Inequalities and Graphing Solutions

What happens to the direction of an inequality when both sides are multiplied or divided by a negative number?

• The inequality is no longer valid

• The inequality reverses direction

• The direction remains the same

• The inequality becomes an equation

If you subtract the same number from both sides of an inequality, what happens to the inequality?

• It reverses direction

• It becomes an equation

• It becomes undefined

• It remains true

How is a solution to an inequality represented on a number line when the inequality symbol is '<'?

• With a square

• With a double line

• With an open circle

• With a closed circle

What is the correct graph representation for 'x ≤ -17'?

• Open circle on -17, shaded right

• Closed circle on -17, shaded left

• Closed circle on -17, shaded right

• Open circle on -17, shaded left

When solving 'y - 3 ≥ 8', what is the correct value of y?

• y ≥ 5

• y ≥ 11

• y ≤ 11

• y ≤ 5

In the inequality '12 + x < 21', what is the solution for x?

• x > 33

• x < 33

• x > 9

• x < 9

What type of circle is used at y = 15 when graphing the inequality 'y/3 ≥ 5'?

• Closed circle

• Dotted circle

• Open circle

• No circle

If an inequality has a negative coefficient before the variable, what must be done to solve it?

• Add the coefficient to both sides

• Divide by the coefficient without changing the inequality

• Multiply by -1 and reverse the inequality

• Subtract the coefficient from both sides

What is the solution for the inequality '-10y < 60' after dividing both sides by -10?

• y < -6

• y > 6

• y < 6

• y > -6

How do you verify if a solution to an inequality is correct?

• Add the solution to both sides of the inequality

• Substitute the solution back into the original inequality

• Multiply the solution by -1

• Graph the solution on a number line