Start by dividing all terms by 4, to reduce this expression: |x+1| < 3.
Case 1: x+1 is already positive. The abs. val. operator does not change
anything. Then x+1<3, or x<2.
Case 2: (x+1) is negative. The abs. val. operator, in effect, puts a - sign in
front of (x+1): -(x+1)<3. Distributing the - sign: -x - 1 < 3. Adding 1 to both sides: -x < 4. We want to solve for positive x, so we mult. both sides of
-x<4 by -1 AND change the direction of the inequality symbol:
x > -4
Thus, the solution set is (-4,2): All real numbers between -4 and 2.
1) probabillity of getting two red balls in a row is 1/2 (if 80% Bowser is lying)
2) <span>probability of getting 2 red balls in a row is 1/6 (20% Bowser's truth)
3) overall probability </span>
I assume that you meant circumference instead of circumstance as circumstance is not a math term.
Given that the circumference is 24,901, determine the diameter.
So, when we find the circumference of a circle. We multiply the diameter by pi (3.14).
However, if we want to find the diameter, we can reverse it by dividing by pi to get the diameter.
So, it would become:
D = C/pi
D = 24901/3.14
D = 7930.25
Thus, the diameter is 7,930.25 (insert units here).
Your answer would be C for the second one