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:
Step-by-step explanation:
eq of a line through (x1,y1) and slope m is
y-y1=m(x-x11)
y+3=3(x+4)
y+3=3x+12
y=3x+12-3
y=3x+9
Answer:
A
Step-by-step explanation:
To know the distance between the two on a number line, we subtract both numbers from each other
Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results
This means that option A is our answer
<em>Question Continuation:</em>
<em>Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce.
</em>
<em>Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.</em>
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Answer:
Step-by-step explanation:
Given
Weight of Tomato = 3 lb
Used Proportion = 5/8
Required
Determine the portion used
To solve this we simply multiply the used proportion by the weight of the tomato bought
Represent the used portion with y.
So:
