Question

Given the expression: 78 > 45x(2(5+8))

Solve for x

Option 1: x = 2
Option 2: x = 3
Option 3: x = 1
Option 4: x = 4

Answer 1

To solve the expression 78 > 45x(2(5+8)), simplify the expression within the parentheses first. Divide both sides of the inequality by 45 to solve for x. The correct solution is x = 2.

Step-by-step explanation:

To solve the given expression: 78 > 45x(2(5+8)), we need to simplify the expression within the parentheses first. 5+8 equals 13, so the expression becomes 78 > 45x(2(13)). To simplify further, multiply 2 and 13, which equals 26. The expression now becomes 78 > 45x(26).

To solve for x, divide both sides of the inequality by 45. This gives us the inequality: 78/45 > x(26/45). Simplifying further, 1.73 > x(0.58).

The inequality states that x(0.58) is less than 1.73, so x must be less than 3. Therefore, the correct solution is x = 2, which corresponds to Option 1.