Solve using the multiplication principle.
-4x > 1/11
The solution is x > -1/44
Is this correct
You forgot to reverse the greater than sign when dividing by a negative number.
Take this example: -2*x < 10.
Pick a number for x that satisfies the equation--: For instance, if x=3, then
-2*(3) < 10 ----> -6 < 10 is true.
Solved without flipping the less than sign makes your equation (with x plugged in) gives you 3 < 10/(-2) ---> 3 < -5 WRONG.
Whenever you multiply or divide both sides of the equation by a negative number, you have to reverse the inequality.
If in doubt, plug in a number for x that works in the first place, and see if it still works at the end.
So will the correct answer be x< -1/44
To solve the inequality -4x > 1/11 using the multiplication principle, you can follow these steps:
1. Begin by multiplying both sides of the inequality by -1. Remember that when you multiply or divide both sides of an inequality by a negative number, you need to reverse the direction of the inequality. So, we have:
-1 * (-4x) > -1 * (1/11)
4x < -1/11
2. Next, divide both sides of the inequality by 4 to isolate the variable x:
(1/4) * (4x) < (1/4) * (-1/11)
x < -1/44
Therefore, the correct solution is x < -1/44, not x > -1/44 as you stated.
So, no, the solution x > -1/44 is not correct. The correct solution is x < -1/44.