In which of the following sets of numbers are all the numbers solutions to 60/g>3×5 ?
plz answer correctly
To find the set of numbers that are solutions to the inequality 60/g > 3 × 5, we can solve the inequality step by step:
1. Start with the given inequality: 60/g > 3 × 5.
2. Simplify the right side of the inequality: 3 × 5 = 15.
3. Rewrite the inequality: 60/g > 15.
4. Multiply both sides of the inequality by g to eliminate the fraction: (60/g) × g > 15 × g.
5. Simplify: 60 > 15g.
6. Divide both sides of the inequality by 15 to solve for g: 60/15 > 15g/15.
7. Simplify: 4 > g.
Therefore, the value of g must be less than 4 for the inequality to hold true. So, all the numbers in the set (-∞, 4) are solutions to the inequality 60/g > 3 × 5.