Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. (x + 4)/(2x - 1) ≤ 3
Indice
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Linear Inequalities
Scelta multipla
Express the given interval in set builder notation and graph.
A
{ ≤ 0}
B
{ < 0}
C
{ > 0}
D
0 Commenti
Guida verificata passo dopo passo1
Identify the interval notation given: (−∞, 0]. This means all numbers less than or equal to 0.
Understand that in set builder notation, this interval can be expressed as {x | x ≤ 0}. This reads as 'the set of all x such that x is less than or equal to 0'.
To graph this interval, note that it includes all numbers to the left of 0, extending infinitely in the negative direction.
The graph will have a solid dot at 0, indicating that 0 is included in the interval, and a line extending to the left towards negative infinity.
Review the provided graphs: The correct graph will have a solid dot at 0 and a line extending to the left, matching the interval (−∞, 0].
Video correlati
Pratica correlata
Domanda del libro di testo
492
views

