In inequality shown 17-x is <10 which List of values for y will make this inequality true

Question

7,8,9

5,6,7

1,2,3

10,11,12

Answer 1

To make the inequality 17 - x < 10 true, we need to find values of x that will make the left side of the inequality less than 10.

Let's try substituting the values of y into the inequality:

For y = 7:
17 - x < 10
17 - x < 10
- x < 10 - 17
- x < -7
Since multiplying both sides of the inequality by -1 flips the sign, we have:
x > 7

For y = 8:
17 - x < 10
17 - x < 10
- x < 10 - 17
- x < -7
Similarly, when multiplying both sides of the inequality by -1, we get:
x > 7

For y = 9:
17 - x < 10
17 - x < 10
- x < 10 - 17
- x < -7
Again, multiplying both sides by -1 gives:
x > 7

From the given values of y, when y = 7, 8, or 9, the values for x that make the inequality true are x > 7.

Therefore, the correct answer is: 7, 8, 9