Question

directions: translate each inequality. 13. “a number is less than 15” 14. “a number is greater than or equal to -3” 15. “a number that is at least 90” 16. “a speed limit of 65 mph” 17. “a number that is no more than 20” 18. “a maximum number of 50” 19. “a minimum number of 10” 20. “a number that is no less than 25”

Explanation:

Step1: Let the number be \(x\) for non - speed related problems and speed be \(s\) for speed - related problem.

Step2: Translate "less than" to \(<\), "greater than or equal to" to \(\geq\), "at least" to \(\geq\), "speed limit" (upper - bound) to \(\leq\), "no more than" to \(\leq\), "maximum" to \(\leq\), "minimum" to \(\geq\), "no less than" to \(\geq\).

1. \(x < 15\)
2. \(x\geq - 3\)
3. \(x\geq90\)
4. \(s\leq65\)
5. \(x\leq20\)
6. \(x\leq50\)
7. \(x\geq10\)
8. \(x\geq25\)

Answer:

1. \(x < 15\)
2. \(x\geq - 3\)
3. \(x\geq90\)
4. \(s\leq65\)
5. \(x\leq20\)
6. \(x\leq50\)
7. \(x\geq10\)
8. \(x\geq25\)