Answer:
x<=-2
Step-by-step explanation:
-6<10-4x>=18
subtract 10
-16<-4x>=18
Divide by -4
x<=-2
Hope this helps
-Scorpio
QUESTION 11
Given :
We take antilogarithm of both sides to get:
Group similar terms to get:
Simplify both sides to get:
Divide both sides by 2 to obtain:
12. Given;
We take antilogarithm to obtain:
Group similar terms to get:
We divide both sides by 5 to get:
13.
We take antilogarithm to get:
Group similar terms
Divide both sides by 4
14. Given ;
We take antilogarithm to get:
Simplify:
Divide both sides by 5
Or
15. Given:
We rewrite in the exponential form to get:
Divide both sides by 10
16. Given:
We take antilogarithm to obtain:
Simplify
Divide both sides by 2
17. Given .
We rewrite in exponential form:
Divide both sides by 3
18. Given
We take antilogarithm to get:
Group similar terms:
We divide both sides by 7
19. Given:
Apply the product rule to simplify the left hand side
We take antilogarithm to obtain:
x=-1 or x=4
But x>0, therefore x=4
20. Given
Apply product rule to the LHS
Rewrite in the exponential form to get:
This implies that:
or
<h3>
Answer: Choice B</h3>
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Explanation:
If you graphed the equation 2x-5y = 14, you'll find it has a positive slope. It turns out the slope in this equation is 2/5, which is positive. A positive slope means the line goes uphill as you move from left to right. This means we can rule out choice because of this (since we want the line to slope downward).
Now let's turn to choice D. If we multiply both sides of the first inequality by -1, then we go from to . Note the inequality sign flips. This always happens when we multiply both sides by any negative number. The inequality implies that the shaded region will be above the boundary line, but this contradicts the drawing which shows the shaded region is below the diagonal boundary line. We can rule out choice D because of this. Choice A can be ruled out for similar reasoning.
You should find that only choice B is left. The diagonal line is 2x+5y = 14, and we shade below this boundary line, as well as shading to the right of the y axis (to indicate all values have positive x coordinates). Values on the boundary count as solution points as well.