2(7n-1)> or equal 3(5-n)
To solve the inequality 2(7n-1) ≥ 3(5-n), follow these steps:
Step 1: Distribute the coefficients on both sides of the inequality:
14n - 2 ≥ 15 - 3n
Step 2: Combine like terms on each side of the inequality:
14n + 3n ≥ 15 + 2
Step 3: Simplify further:
17n ≥ 17
Step 4: Divide both sides of the inequality by the coefficient of n (17) to solve for n:
n ≥ 1
Therefore, the solution to the inequality 2(7n-1) ≥ 3(5-n) is n ≥ 1.