Which of the following is the correct solution to the inequality Cx+4≤18, where C is a number greater than 0?
The correct solution to the inequality Cx + 4 ≤ 18, where C is a number greater than 0, is x ≤ (18 - 4)/C.
To simplify the inequality, subtract 4 from both sides:
Cx ≤ 18 - 4
Cx ≤ 14
To isolate x, divide both sides by C (remembering that C is greater than 0):
x ≤ 14/C
To solve the inequality Cx + 4 ≤ 18, where C is a number greater than 0, we can follow these steps:
Step 1: Subtract 4 from both sides of the inequality:
Cx ≤ 18 - 4
Cx ≤ 14
Step 2: Divide both sides of the inequality by C:
Cx/C ≤ 14/C
Since C is a number greater than 0, we can safely divide by C without changing the direction of the inequality.
Step 3: Simplify the inequality:
x ≤ 14/C
So, the correct solution to the inequality Cx + 4 ≤ 18, where C is a number greater than 0, is x ≤ 14/C.