# PSAT Math : Equations / Inequalities

## Example Questions

### Example Question #71 : Equations / Inequalities

Solve for :       Explanation:

Begin by moving all of the values to the left side of the inequality: becomes Next, move the to the right side: Finally, divide both sides by : ### Example Question #72 : Equations / Inequalities

Solve for :       Explanation:

First, move the values to the left side of the inequality: becomes Next, move the to the right side: Finally, divide by . Remember: you must flip the inequality sign when you multiply or divide by a negative number. ### Example Question #73 : Equations / Inequalities

Solve for :       Explanation:

First, get the factors on the left side of the inequality: becomes Next, subtract from both sides: Now, divide by .  Remember: Dividing or multiplying by a negative number requires you to flip the inequality sign: ### Example Question #74 : Equations / Inequalities

Solve the inequality      Explanation:

First, multiplying each side of the equality by gives . Next, dividing each side of the inequality by will solve for  .

### Example Question #1937 : Sat Mathematics

What is the solution set of the inequality ?      Explanation:

We simplify this inequality similarly to how we would simplify an equation  Thus ### Example Question #1938 : Sat Mathematics

What is a solution set of the inequality ?      Explanation:

In order to find the solution set, we solve as we would an equation:   Therefore, the solution set is any value of .

### Example Question #5 : How To Find Out When An Equation Has No Solution

Find the solution to the following equation if x = 3:

y = (4x2 - 2)/(9 - x2)

no possible solution

3

6

0

no possible solution

Explanation:

Substituting 3 in for x, you will get 0 in the denominator of the fraction. It is not possible to have 0 be the denominator for a fraction so there is no possible solution to this equation.

### Example Question #2 : Equations / Inequalities I.  x = 0

II. x = –1

III. x = 1

I only

I, II, and III

II and III only

III only

II only

I only

Explanation: ### Example Question #6 : How To Find Out When An Equation Has No Solution –1/2

1

–3

There is no solution

3

There is no solution

Explanation: ### Example Question #7 : How To Find Out When An Equation Has No Solution       Explanation:

A fraction is considered undefined when the denominator equals 0. Set the denominator equal to zero and solve for the variable.  ### All PSAT Math Resources 