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You flip the inequality sign when you are dividing or multiplying both sides by a negative.
You also flip the inequality sign when you "swap" the answers on both sides.
The other time you flip the inequality sign is when raising both sides to a negative power. e.g. 5>4, but (5^-1)<(4^-1) i.e. 1/5 < 1/4....this is true when both sides of the inequality are either positive or negative, if one side is positive and one side is negative, the inequality sign does not get flipped, e.g. -4<5 and -1/4 < 1/5 (in this case the inequality sign is not flipped)
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Does an inequality change when you multiply by a negative?
Yes you have to flip the sign.
Do you flip the inequality when adding and subtracting?
No. Only flip the inequality when multiplying or dividing by a negative number.
What must you do when solving an inequality with a negative coefficient?
Divide by negative one and flip the sign eg -x > 6 / -1 /-1 x < - 6
When you divide both sides of any inequality by a negative number you need to what the inequality symbol?
Flip it around
When the inequality is multiplied both sides by a positive number what happens?
Nothing, you proceed as if the < or > was an =. If you're multiplying or dividing both sides by a negative, you flip the sign. e.g. < would go to >
