The formula C = 5/9(F-32) can be used to convert Fahrenheit temperatures to Celsius temperatures.

a. Gold is liquid for Celsius temperatures C such that 1063 degrees (less than or equal to) C < 2660 degrees. Find a comparable inequality for Fahrenheit temperatures.

b. Silver is liquid for Celsius temperatures C such that 960.8 degrees (less than or equal to) C < 2180 degrees. Find a comparable inequality for Fahrenheit temperatures.

I am not sure how to solve either of these, so please walk me through the process. Thank you!

Silver is liquid for Celsius temperatures C such that 960.8 degrees (less than or equal to) C < 2180 degrees. Find such an inequality for for the corresponding Fahrenheit temperatures.

To find a comparable inequality for Fahrenheit temperatures for each scenario, we need to solve the given inequality by substituting the Celsius temperature range into the formula C = 5/9(F-32) and then isolating the variable F in each case.

a. Gold is liquid for Celsius temperatures C such that 1063 degrees ≤ C < 2660 degrees.

First, we'll substitute the lower bound of 1063 degrees into the formula:

1063 = 5/9(F - 32)

Next, we'll solve for F:

Multiply both sides by 9/5 to eliminate the fraction:

9/5 * 1063 = F - 32

1913.4 = F - 32

Add 32 to both sides:

F = 1913.4 + 32

F ≈ 1945.4 degrees

Therefore, the lower bound of the comparable inequality for Fahrenheit temperatures is approximately 1945.4 degrees.

Next, we'll substitute the upper bound of 2660 degrees into the formula:

2660 = 5/9(F - 32)

Solving for F:

Multiply both sides by 9/5:

9/5 * 2660 = F - 32

4772 = F - 32

Add 32 to both sides:

F = 4772 + 32

F ≈ 4804 degrees

Therefore, the upper bound of the comparable inequality for Fahrenheit temperatures is approximately 4804 degrees.

Combining the results, the comparable inequality for Fahrenheit temperatures is:

1945.4 degrees ≤ F < 4804 degrees.

b. Silver is liquid for Celsius temperatures C such that 960.8 degrees ≤ C < 2180 degrees.

Using a similar process, we can find the comparable inequality for Fahrenheit temperatures.

First, substitute the lower bound of 960.8 degrees into the formula:

960.8 = 5/9(F - 32)

Solving for F:

Multiply both sides by 9/5:

9/5 * 960.8 = F - 32

1730.56 = F - 32

Add 32 to both sides:

F = 1730.56 + 32

F ≈ 1762.56 degrees

Therefore, the lower bound of the comparable inequality for Fahrenheit temperatures is approximately 1762.56 degrees.

Next, substitute the upper bound of 2180 degrees into the formula:

2180 = 5/9(F - 32)

Solving for F:

Multiply both sides by 9/5:

9/5 * 2180 = F - 32

3924 = F - 32

Add 32 to both sides:

F = 3924 + 32

F ≈ 3956 degrees

Therefore, the upper bound of the comparable inequality for Fahrenheit temperatures is approximately 3956 degrees.

Combining the results, the comparable inequality for Fahrenheit temperatures is:

1762.56 degrees ≤ F < 3956 degrees.

To find the comparable inequality for Fahrenheit temperatures, we can use the given formula:

C = 5/9(F-32)

a. First, let's consider the range for Celsius temperatures: 1063 degrees ≤ C < 2660 degrees.

Step 1: Substitute the lower Celsius temperature (1063 degrees) into the formula to find the corresponding Fahrenheit temperature.

1063 = 5/9(F-32)

Step 2: Simplify the equation.

Multiply both sides by 9/5 to get rid of the fraction.

(9/5)(1063) = F - 32

Step 3: Calculate the Fahrenheit temperature.

(9/5)(1063) = F - 32

1913.4 = F - 32

Step 4: Add 32 to both sides to isolate F.

1913.4 + 32 = F

1945.4 = F

So, the lower Fahrenheit temperature is 1945.4 degrees.

b. Repeat the same steps for the upper range of Celsius temperatures: 960.8 degrees ≤ C < 2180 degrees.

Step 1: Substitute the upper Celsius temperature (2180 degrees) into the formula.

2180 = 5/9(F-32)

Step 2: Simplify the equation.

Multiply both sides by 9/5.

(9/5)(2180) = F - 32

Step 3: Calculate the Fahrenheit temperature.

(9/5)(2180) = F - 32

3944 = F - 32

Step 4: Add 32 to both sides.

3944 + 32 = F

3976 = F

So, the upper Fahrenheit temperature is 3976 degrees.

Combining the results, the comparable inequality for Fahrenheit temperatures is:

1945.4 degrees ≤ F < 3976 degrees.

I will start you on the second.

find the F that is equivalent t0 960.8, then find F that is equivalent to 2180C

C=5/9(F-32)
9/5C=F-32
F= 9.5C+32
Put C in, solve for F