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solve for x: −3|2x + 6| = −12
solve for x: |2x + 6| − 4 = 20
solve for x: |x| − 8 = −5
compare and contrast: two equations are listed below. solve each equation and compare the number of solutions.
equation 1 equation 2
|5x + 6| = 41 |2x + 13| = 28
solve for x: −4|x + 5| = −16
the minimum and maximum temperature on a cold day in lollypop town can be modeled by the equation below:
2|x − 6| + 14 = 38
what are the minimum and maximum temperatures for this day?

Part 1) The solutions are x=-1, x=-5

Part 2) The solutions are x=-15, x=9

Part 3) The solutions are x=-3, x=3

Part 4) The solutions of equation 1 are x=-9.4,x=7 and the solutions of the equation 2 are x=-20.5, x=-7.5

Part 5) The solutions are x=-9, x=-1

Part 6) The minimum temperature is x=-6° and the maximum temperature is x=18°

Step-by-step explanation:

Part 1) we have

Solve for x

Simplify

Divide by -3 both sides

Find out the first solution (case positive)

Find out the second solution (case negative)

Multiply by -1 both sides

Part 2) we have

Solve for x

Simplify

Adds 4 both sides

Find out the first solution (case positive)

Find out the second solution (case negative)

Multiply by -1 both sides

Part 3) we have

Solve for x

Simplify

Adds 8 both sides

Find out the first solution (case positive)

Find out the second solution (case negative)

Multiply by -1 both sides

Part 4) Solve each equation and compare the number of solutions

Equation 1

Find out the first solution (case positive)

Find out the second solution (case negative)

Multiply by -1 both sides

Equation 2

Find out the first solution (case positive)

Find out the second solution (case negative)

Multiply by -1 both sides

Each equation has two solutions

Part 5) Solve for x

Simplify

Divide by -4 both sides

Find out the first solution (case positive)

Find out the second solution (case negative)

Multiply by -1 both sides

Part 6) What are the minimum and maximum temperatures for this day?

we have

Simplify

Subtract 14 both sides

Divide by 2 both sides

Find out the first solution (case positive)

Find out the second solution (case negative)

Multiply by -1 both sides

therefore

The minimum temperature is x=-6° and the maximum temperature is x=18°

step-by-step explanation:

no solution.