Answer:
Step-by-step explanation:
Help me in question 6
1 answer:
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Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.
(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:
-9 < x + 3 < 9 Now subtract 3 from all three parts.
-12 < x < 6
(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.
(g) means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.
means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.
(That last fraction is 10/4 simplified.)
Answer:
Jose and George are correct
Baulus is incorrect
Step-by-step explanation:
Given
%
Required
Compare the above expression with
Jose: 6.75%.
George: 0.0675
Baulus: 0.0675%
<em>The expression </em><em>% is given as a mixed fraction;</em>
In Jose's case, he simply converted it to decimal
Converting % to decimal;
First, we need to convert to improper fraction
% in improper fraction is
%
Then, we divide the numerator by the denominator
% = 6.75%.
Hence, Jose is correct
In George's case, he solved further by removing the % from Jose's answer.
% means divided by 100; In other words, x% means that we divide x by 100
So, 6.75% means we divide 6.75 by 100
= 0.0675
Hence, George is also correct
But same can't be said of Baulus;
Baulus converted % as 0.0675%
This means that he converted as 0.0675 then he appended it with the percentage sign (%)
Since is not equal to 0.0675, then we can conclude that Baulus is incorrect