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Whenever you multiply (or divide) both sides an inequality by a negative number.
Example: 3 < 5, therefore -3 > -5
-2x < 10
becomes (by multiplying by -1/2):
x > 5
x(x+1) > 0
In this type of inequality, you can divide both sides by x, but you have to consider the two cases, that x > 0 and that x < 0.
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What way does an inequality sign face when it is greater than or equal to?
The inequality sign opens towards the bigger number.
What are the critical features of an inequality?
An inequality must have a greater than sign (>) OR a less than sign (<) OR a greater than or equal to sign (≥) OR a less than or equal to sign (≤).
How do you know weather to shade above or below the line when graphing an inequality on the coordinate plane?
If the inequality has a > or ≥ sign, you shade above the line. If the inequality has a < or ≤ sign, you shade below it. Obviously, just an = is an equation, not an inequality.
When graphing a linear inequality the first step is to replace the inequality symbol with a sign?
john
When do you flip the inequality 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)
