Solving Inequalities Problems

Your linear equations might have looked something like these: So, linear inequalities only have variables to the first power and have inequality symbols. Think back to when you last solved a linear equation. If you were given a problem such as x 2 = 6, you most likely looked at it and realized that you need to move the number 2 to the other side of the equation so that your variable is alone.

Here is a step-by-step guide to how to solve an inequality with a fraction in it.

Even if fractions seem to trip you up every time, once you learn this concept, you'll be solving problems with fractions in them in no time.

After subtracting 2 from both sides, your variable is alone and you have solved the linear equation. Now, let's say you are given a problem like x 2 You first solve the inequality by dividing each side of the inequality by -3. Now, flip the symbol to get your solution: x less than or equal to -2.

Remember, flip the inequality symbol whenever you divide or multiply by a negative number.

We solve the inequality by dividing both sides by 4.50: x ≥ 144.44. What must the length be if the perimeter is at least 180 inches? The formula for perimeter is: Perimeter = 2 x length 2 x width Since the perimeter must be at least 180 inches, we have 2x 2(20) ≥ 180.

We round up the answer to 145 since only whole boxes can be sold. Check If we multiply 145 by .50 we obtain 2.50, so if Virenas troop sells more than 145 boxes they will raise more than 0.

-3 The graph for x ≥ 2 Inequalities that have the same solution are called equivalent.

There are properties of inequalities as well as there were properties of equality.

You should also notice all the processes in the inequality such as multiplication, subtraction, exponents, parentheses and such.

Use the order of operation in reverse to begin to solve the problem.