Answer :
Final answer:
To solve the inequality 14.4x - 28.2 > 36.6, add 28.2 to both sides, then divide by 14.4, resulting in x > 4.5 as the solution.
Explanation:
To solve the inequality 14.4x - 28.2 > 36.6, follow these steps:
Add 28.2 to both sides of the inequality to isolate the term with x on one side.
This gives us 14.4x > 36.6 + 28.2, which simplifies to 14.4x > 64.8.
Divide both sides by 14.4 to solve for x. This results in x > 64.8 / 14.4.
Calculating 64.8 / 14.4 gives us x > 4.5. So the solution to the inequality is x > 4.5.
Thus, the value of x must be greater than 4.5 to satisfy the original inequality.
Answer:
x > 4.5
Step-by-step explanation:
Given the inequality :
14.4x - 28.2 > 36.6
Collect like terms
14.4x > 36.6 + 28.2
14.4x > 64.8
Divide both sides by 14.4
x > 64.8 / 14.4
x > 4.5