when you solve for x:
-3x >3
__ __
-3 -3
x is -1 but is it x<-1 or x>-1
What is the rule with flipping inequalities when dividing? Thank you
I know x equals -1 but do you flip the sign to be <-1 or leave it as >-1?
Thank you
2007-09-10 10:25:19 · 14 answers · asked by ScoTT 1 in Science & Mathematics ➔ Mathematics
- 3 x > 3
3x < - 3
x < - 1
Rule
When multiplying both sides of an inequality by negative 1, the inequality sign is reversed.
2007-09-13 22:48:26 · answer #1 · answered by Como 7 · 2⤊ 1⤋
Rules For Solving Inequalities
2016-12-11 03:48:03 · answer #2 · answered by ? 4 · 0⤊ 0⤋
Dividing Inequalities
2016-09-30 10:25:35 · answer #3 · answered by ? 3 · 0⤊ 0⤋
The rule is:
when you divide or multiply by a negative number you must flip the inequality sign.
10 > 6 .... multiplying by (-2) you get -20 < -12
dividing by (-2) you get -5 < - 3
If you multiply or divide by a positive number, the sign do no change.
10 > 6 ... multiplying by 2 you get 20 > 12
dividing by 2 you get 5 > 3
2007-09-10 10:37:16 · answer #4 · answered by vahucel 6 · 1⤊ 0⤋
the answer is x< -1 because whenever you divide or multiply by a negative number the sign is flipped. It doesn't matter if the number being divided is positive or negative.Since multiplying and dividing by a negative number will change the signs of both sides of the inequality, the values of each side are reversed, so that the direction of the inequality sign needs to be flipped as well.
2007-09-10 10:29:46 · answer #5 · answered by Twilight182 4 · 1⤊ 1⤋
You flip the direction of the inequality when you multiply (or divide) by a negative number.
If you had -2x > 4
you would divide both sides by -2, forcing you to flip the symbol:
x<-2
But in the above problem, the signs get rid of themselves:
You begin with:
(-3/-3) x > (3/-3)
-3/-3 = +1 so you don't need to multiply or divide anything. The symbol remains unchanged.
(+1) x > -1
x is greater than -1 and that is it.
2007-09-10 10:34:07 · answer #6 · answered by Raymond 7 · 1⤊ 1⤋
You only flip the inequality sign if you divide/multiply by a negative.
2007-09-10 10:33:12 · answer #7 · answered by Anonymous · 0⤊ 0⤋
The sense of the inequality changes when:
You interchange the sides of your inequality.
You multiply or divide by a number less than zero. (If you multiply by zero, you end up with the trivial equation 0 = 0 instad of an inequality.)
In your original example, when you divide both sides of the inequality by -3, which is less than zero, the sense of the inequality changes. The solution is therefore
x < -1
2007-09-10 10:35:06 · answer #8 · answered by devilsadvocate1728 6 · 0⤊ 1⤋
x < -1
2007-09-10 10:28:23 · answer #9 · answered by Anonymous · 2⤊ 2⤋
-3x > 3
-x > 1
x < -1
the rule is when dividing or multiplying by a negative number flip the inequality sign.
-x > 7
x < -7
2007-09-10 10:40:31 · answer #10 · answered by Anonymous · 0⤊ 1⤋