Final answer:
To solve the inequality 19 - 7g < 5, subtract 19 from both sides, divide by -7, and reverse the inequality sign to find that g > 2.
Step-by-step explanation:
The given inequality is 19 - 7g < 5. To solve for g, we need to isolate the variable on one side of the inequality. Here's how we do it step by step:
- Subtract 19 from both sides: -7g < 5 - 19.
- Simplify the right side: -7g < -14.
- Divide both sides by -7, remembering to reverse the inequality sign because we are dividing by a negative number: g > 2.
Therefore, the solution to the inequality is g > 2.