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:
5x-18=4x+7 ( vertical opposite angle)
5x-4x=7+18
x=25
Answer:
20 square inches
Step-by-step explanation:
No. of bags Huma has : 4
No. of tiles in one bag: 6
Total no . of tiles in 4 bag = 4 * No. of tiles in one bag
= 4*6 = 24
No of tiles left with huma = 4
Let x be the no of tiles used to cover rectangle
Hence,
sum of no. of tiles left with huma and no of tiles used to cover rectangle should be equal to Total no . of tiles in 4 bag
mathematically
no. of tiles left with huma(4) + no of tiles used to cover rectangle (x) = Total no . of tiles in 4 bag (24)
4 + x = 24
subtracting 4 from both sides
4 + x -4 = 24 - 4
=> x = 20
Thus, 20 square inches tiles are used to cover the rectangle.
This means that area of rectangle is 20 square inches .
Answer:
The coefficient of y² will be 1, which we can see when we expand the expression:
(x + y)²
= (x +y)(x + y)
= x² + xy + xy + y²
= x² + 2xy + y²
