If there are 70 dogs to every 5 cats how many dogs are there to 70 cats
1 answer:
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Part A: The solution is
Part B: The point is not in the solution set.
Explanation:
Part A: The given inequalities are and
The solution can be determined by solving the two inequalities by substitution method.
Changing inequalities to equality, we have,
and
Let us substitute in the equation
, we get,
Substituting in
, we get,
Thus, the solution set is
Part B: Now, we shall determine whether the point is in the solution set.
Let us substitute the point in the inequalities
and
, we get,
Also, substituting in
, we get,
Since, the point does not satisfy one of the inequality
, the solution set does not contain the point
Thus, the point is not in the solution set.
Use the distributive property to multiply 3 by x−4.
Subtract 5x on both sides.
Combine 3x and −5x to get −2x.
Add 12 to both sides.
Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.
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