7-70. Use your preferred method to solve
2 answers:
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Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Step-by-step explanation:
<u><em>The question is</em></u>
Solve each inequality for the indicated variable
Part 1) we have
subtract 12 both sides
Divide by 2 both sides
The solution is the interval (-∞,5.5)
In a number line the solution is the shaded area at left of u=5.5 (open circle)
The number 5.5 is not included in the solution
Part 2) we have
subtract 8 both sides
Divide by 0.1 both sides
The solution is the interval (-80,∞)
In a number line the solution is the shaded area at right of d=-80 (open circle)
The number -80 is not included in the solution
Part 3) we have
Subtract 3 both sides
Divide by -4 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
The solution is the interval (-∞,-1)
In a number line the solution is the shaded area at left of r=-1.1 (open circle)
The number -1.1 is not included in the solution
Part 4) we have
Subtract 3 both sides
Divide by 2 both sides
Rewrite
The solution is the interval (5,∞)
In a number line the solution is the shaded area at right of z=5 (open circle)
The number 5 is not included in the solution
Part 5) we have
Subtract 9 both sides
Divide by -0.15 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
Rewrite
The solution is the interval [20,∞)
In a number line the solution is the shaded area at right of i=20 (closed circle)
The number 20 is included in the solution
The graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
<h3>How to determine the graph with the minimum amount due?</h3>First of all, we would assign a variable to the different amount of money as follows:
- Let x be the credit amount.
- Let y be the minimum amount due.
Translating the word problem into an algebraic expression, we have;
For a bill of less than $100, the entire amount is due:
0 ≤ x < $100, therefore, y = x
For a bill of at least $100 but less than $500, the minimum due is $100: $100 ≤ x < $500, therefore, y = 100
For a bill of at least $500 but less than $1,000, the minimum due is $300:
$500 ≤ x < $1000, therefore, y = $300
For a bill of $1,000 or more, the minimum due is $500:
Since the credit limit is equal to $2000, we have $1000 ≤ x < $2000 and y = $500
In conclusion, the graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
Read more on graphs here: brainly.com/question/16883029
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