To solve the inequality n - 4/7 ≥ -2/3 for n, we can start by getting rid of the fractions.
First, we can multiply both sides of the inequality by 3 to eliminate the fraction -2/3 on the right side:
3(n - 4/7) ≥ -2/3 * 3
This simplifies to:
3n - 12/7 ≥ -6/3
Next, we need to get rid of the fraction 12/7. We can do this by multiplying both sides of the inequality by 7:
7(3n - 12/7) ≥ -6/3 * 7
This simplifies to:
21n - 12 ≥ -14
Now, we can add 12 to both sides of the inequality to get n by itself:
21n - 12 + 12 ≥ -14 + 12
This simplifies to:
21n ≥ -2
Finally, we can divide both sides of the inequality by 21 to solve for n:
n ≥ -2/21
So the solution to the inequality n - 4/7 ≥ -2/3 is n ≥ -2/21.
Solve the inequality n minus four sevenths is greater than or equal to negative two thirds for n.
n is greater than or equal to negative 2 over twenty one
n is less than or equal to two over twenty one
n is greater than or equal to negative twenty six over twenty one
n is less than or equal to twenty six over twenty one
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