Question

Here is an inequality: (-10+ 5)/5 ≥ (7x-5)/3 what value of x will produce equality (or make both sides of the two sides equal).

Answer 1

To make the inequality (-10+5)/5 ≥ (7x-5)/3 equal, solve for x by simplifying both sides, converting the inequality to an equation, eliminating the fraction, and solving for x, which yields a value of approximately 0.2857.

Step-by-step explanation:

To find the value of x that will make the two sides of the inequality (-10+5)/5 ≥ (7x-5)/3 equal, we need to solve for x when the inequality becomes an equation.

Step-by-Step Solution:

1. First, simplify both sides of the equation: (-5)/5 = -1 and (7x-5)/3 remains as it is.
2. Set the equation to find equality: -1 = (7x-5)/3.
3. Multiply both sides of the equation by 3 to eliminate the fraction on the right side: -3 = 7x - 5.
4. Add 5 to both sides of the equation: 2 = 7x.
5. Divide both sides by 7 to solve for x: x = 2/7 or approximately x = 0.2857.

By following these steps, we can see that the value of x that will make both sides of the inequality equal is approximately 0.2857.