Question

Solve the following inequality for g.
Write your answer in simplest form.
g-5 ≤ 10g - 6

Answer 1

The inequality g - 5 ≤ 10g - 6 is solved by isolating g to find the simplest form of the solution, which is g ≥ 1/9.

Step-by-step explanation:

To solve the inequality g - 5 ≤ 10g - 6 for g, we need to isolate g on one side. We can do this by performing the following steps:

1. Add 5 to both sides to get rid of the -5 on the left: g ≤ 10g - 1.
2. Subtract 10g from both sides to bring all terms with g on one side: -9g ≤ -1.
3. Divide both sides by -9, remembering to flip the inequality symbol because we're dividing by a negative number: g ≥ 1/9.

The simplest form of the solution is g ≥ 1/9.