5-2x-1/3≤4

Answer 1

To solve the inequality 5-2x-1/3≤4, we can start by simplifying the expression on the left side:

5 - 2x - 1/3 ≤ 4

First, let's combine the constant terms:

(5 - 1/3) - 2x ≤ 4

Multiplying the fractions by 3 to eliminate the denominator:

(15/3 - 1/3) - 2x ≤ 4

(14/3) - 2x ≤ 4

Next, we can isolate the variable by subtracting 14/3 from both sides:

-2x ≤ 4 - 14/3

To simplify the right side, we need to find a common denominator:

-2x ≤ 12/3 - 14/3

-2x ≤ -2/3

Now, dividing both sides by -2 (since it is a negative number, the inequality sign will flip):

x ≥ (-2/3) / -2

x ≥ 1/3

Therefore, the solution to the inequality is x ≥ 1/3.