The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
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Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
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Answer:
9/3
Step-by-step explanation:
you can't subtract from zero or you can't subtract a number from zero.
Answer:
343
Step-by-step explanation:
7 cubed = 7 x 7 x 7 = 343
so, 343 is a perfect cube.
4 loads of stone ... 2/3 ton
1 load of stone ... x ton = ?
If you would like to know the weight of 1 load of stone, you can calculate this using the following steps:
4 * x = 2/3 * 1
4 * x = 2/3 /4
x = 2/3 / 4
x = 2/12 = 1/6 ton
The correct result would be 1/6 ton.
Answer:
2/3
Step-by-step explanation:
Given that:
Number of students = 80
Number of parents = 40
fraction of the ratio of students to the total number of people at the graduation
Total number of people at graduation =. (number of students + number of parents)
80 + 40 = 120
Number of students : total people
80 : 120
80/120 = 8/12 = 2/3