Solve the inequality. Write the solution in interval notation.
0.5x−4>6
The solution is
enter your response here
.(Type your answer in interval notation.)
The solution is (8, infinity)
The lawful speeds S on an interstate highway satisfy
|S−54.5|≤17.5. Find the maximum and minimum speed limits by solving the absolute value equation
|S−54.5|=17.5.
The minimum speed limit is
enter your response here
mi/hr.
The minimum speed limit is 37 mi/hr.
The lawful speeds S on an interstate highway satisfy
|S−54.5|≤17.5. Find the maximum and minimum speed limits by solving the absolute value equation
|S−54.5|=17.5.
The maximum speed limit is
enter your response here mi/hr.
The maximum speed limit is 72 mi/hr.
To solve the inequality 0.5x - 4 > 6, we can follow these steps:
Step 1: Add 4 to both sides of the inequality to isolate the variable.
0.5x - 4 + 4 > 6 + 4
0.5x > 10
Step 2: Divide both sides of the inequality by 0.5 to solve for x.
(0.5x) / 0.5 > 10 / 0.5
x > 20
Therefore, the solution to the inequality is x > 20.
In interval notation, we use parentheses and brackets to represent intervals. Here, since x is greater than 20, we use parentheses to show that 20 is not included in the solution. So the solution in interval notation is:
(20, +∞)