Answer:
To solve the inequality 5(4 - x) - 2x ≥ 3 - (x - 1) and find the value of x, we can simplify the expression step by step.
5(4 - x) - 2x ≥ 3 - (x - 1)
First, let's simplify the expressions inside the parentheses:
5 * (4 - x) = 20 - 5x
3 - (x - 1) = 3 - x + 1 = 4 - x
Now, let's substitute the simplified expressions back into the inequality:
20 - 5x - 2x ≥ 4 - x
Next, let's combine like terms:
-5x - 2x + x ≥ 4 - 20
-6x ≥ -16
Now, we need to divide both sides of the inequality by -6. However, since we are dividing by a negative number, the inequality sign will flip:
x ≤ (-16) / (-6)
Simplifying further:
x ≤ 8/3
Therefore, the solution to the inequality is x ≤ 8/3.