Which of the following represents the set "all values of x greater than or equal to −1 and less than 2" in set builder notation?
2 answers:
Answer: B. {x | −1 ≤ x < 2}
Step-by-step explanation:
Sign we use to denote less than '<' .
Sign we use to denote greater than or equal :
The expression to show all values of x greater than -1 :
The expression to show all values of x less than 2 :
Now , the expression is used to show "all values of x greater than or equal to −1 and less than 2".
{x | −1 ≤ x < 2}
So , the correct answer : B. {x | −1 ≤ x < 2}
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Answer:
First option:
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can observe that:
1. Both lines have the same y-intercept:
2. The lines are solid, then the symbol of the inequality must be or
.
3. Since both shaded regions are below the solid lines, the symbol is:
Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:
