Inequalities when do you change the sign

Solving Inequalities Sometimes we need to solve Inequalities like these: Symbol. Some things can change the direction! Multiply or divide both sides by a negative number Swapping left and right hand sides.

But it is normal to put "x" on the left hand side Well, just look at the number line! When multiplying or dividing by a negative number, reverse the inequality.

Get Link. You cannot divide by y or 5y since you do not know whether y is negative or positive and, as such, you do not know whether to flip the inequality. Solve each inequality alone.

Now we have to multiply both sides by??? Now we have to divide both sides by??? How negative numbers flip the sign of the inequality. Effect of negative numbers on inequalities We solve inequalities the same way we solve equations, except that when we multiply or divide both sides of the inequality by a negative number, we have to do something special to it. I'm krista. You're sailing through your homework then An inequality with lots of negatives and absolute values.

When do you flip the inequality sign? No fear! There are a couple of occasions when you flip the inequality, and we'll go through them below. Flip the inequality sign when you multiply or divide both sides of an inequality by a negative number.

The main situation where you'll need to flip the inequality sign is when you multiply or divide both sides of an inequality by a negative number. To solve, you need to get all the x -es on the same side of the inequality. Now isolate the x on the left side by moving the constant, 6, to the other side of the inequality.