When 3⩽𝑥⩽5 and 7⩽𝑦⩽9 the smallest possible value for 2𝑦−𝑥 is.
Question
When 3⩽𝑥⩽5 and 7⩽𝑦⩽9 the smallest possible value for 2𝑦−𝑥 is.
🧐 Not the exact question you are looking for?Go ask a question
Solution
To find the smallest possible value for the expression 2y - x, we need to minimize the value of y and maximize the value of x.
Step 1: Identify the minimum and maximum values of x and y. From the given, x ranges from 3 to 5 and y ranges from 7 to 9.
Step 2: Substitute the minimum value of y and the maximum value of x into the expression. So, substitute y = 7 (minimum value of y) and x = 5 (maximum value of x) into the expression 2y - x.
Step 3: Calculate the value. 2(7) - 5 = 14 - 5 = 9
So, the smallest possible value for 2y - x is 9.
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.