If 3 < x < 9, and – 4< y < 6, which of the following best describes x + y? – 1 < x + y < 11 – 1 < x + y < 15 9 < x + y < 11 5 < x + y < 9 None of these
Question
If 3 < x < 9, and – 4< y < 6, which of the following best describes x + y?
– 1 < x + y < 11
– 1 < x + y < 15
9 < x + y < 11
5 < x + y < 9
None of these
Solution
The question is asking for the possible range of the sum of x and y given the ranges of x and y individually.
Step 1: Identify the minimum and maximum values for x and y. The minimum value for x is 3 and the maximum value is 9. The minimum value for y is -4 and the maximum value is 6.
Step 2: Add the minimum values and the maximum values. The minimum possible value for x + y is 3 + (-4) = -1. The maximum possible value for x + y is 9 + 6 = 15.
Step 3: Compare these values to the options given. The only option that includes all possible values for x + y from -1 to 15 is "-1 < x + y < 15".
So, the answer is "-1 < x + y < 15".
Similar Questions
If 3 < x < 9, and – 4< y < 6, which of the following best describes x + y? – 1 < x + y < 11 – 1 < x + y < 15 9 < x + y < 11 5 < x + y < 9 None of these
Which of the following evaluates to True when x = 1 and y = 19?*4 pointsx == 1 and y < 10x == 1 or y < 5x < 1 or y < 5x < 5 and y == 19x > 0 or y > 10
3-1-9: Consider the following Boolean expression in which the int variables x and y have been properly declared and initialized.(x >= 10) == (y < 12)Which of the following values for x and y will result in the expression evaluating to true ?A. x = 10 and y = 12B. x = 9 and y = 9C. x = 10 and y = 11D. x = 10 and y = 13E. x = 9 and y = 12Check MeCompare me
f 2 < x < 5, and 6 > y >3, what are the possible values of x + y? x + y must be between – 2 and 7 x + y must be between – 5 and 10 x + y must be between 5 and 11 x + y must be between 6 and 9 None of these
Which of the following are solutions to the system of inequalities y<−x+5𝑦<−𝑥+5 and y≥3x+1?𝑦≥3𝑥+1? Select all that apply.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.