Which of the following points lie in the solution set to the following system of inequalities?
2 answers:
Answer:
<h2>(1, −10)</h2>Step-by-step explanation:
If we graph this system of inequalities, we could find the solution.
From the graph you can deduct that the only right answer is the last one (1,-10), because the area of solution is only for negative values of <em>y.</em>
Therefore, the right choice is the last one.
If you can't graph, you can try another method. If we replace the value in the system, it should satisfy it, that is, it should gives us a true result like 0<1 for example. Let's try
For x=1 and y=-10, we have
-10 ≤ 1 − 5
-10 ≤ −1 − 4
-10 ≤ -4
-10 ≤ -5
As you can see, the result is true, because -10 is less than -4 and -5, so that's the right answer.
You might be interested in
Take the logarithm of both sides. The base of the logarithm doesn't matter.
Drop the exponents:
Expand the right side:
Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :
Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :
You can stop there, or continue simplifying the solution by using properties of logarithms:
You can condense the solution further using the change-of-base identity,