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