No. Only flip the inequality when multiplying or dividing by a negative number.
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What is the definition of Adding and Subtracting Like Fractions
adding
Flip it around
Yes you have to flip the sign.
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)