8x-19=-3x-41
+3x +3x
11x-19=-41
+19 +19
11x=-22
÷11 ÷11
x=-2
Answer:
There are 18 women in the class
Step-by-step explanation:
First of all this is a ratio topic and to solve it one needs to know that ratios are fractions so to solve it we will find first the sum of the fractions which is 3+1 and =4. Fully recognising through the question that the fractions or relation of the women to the men in the classroom is in a 3:1 ratio, we should multiply the fraction with the total number of people in the class which bring forth the result as 18!
<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.