-3p > 105
divide both sides by -3 and remember that when multiplying or dividing by a negative number, you reverse the sense of the inequality:
p < -35
To check to make sure the answer makes sense, select a value of p that is less than -35. For example, -100:
(-3)(-100) > 105
300 > 105
which is true.
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An inequality has no magnitude. A number can be greater than or equal to -5, but not an inequality.
It changes the direction of the inequality.
You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.
An inequality is when a variable and its coeefecient is greater than something. For example, 5x is greater than 2.
9h + 2 < - 79 9h < - 81 h < - 9