Question

You know x is a number less than 4. Select all the inequalities that must be true.

x-2 > 2
x+6 < 10
x < 2
5x < 20
x < 8

Answer 1

x+6 < 19

5x < 20

x < 8

Explanation:

To solve this problem, you have to plug in numbers for every statement to see if it is true or not. You know that x is a number less than 4, so we can use 3 as an example.

x-2 > 2 | ❌

This can be rewritten as 3-2 > 2 (since we are plugging in 3, any number less than 4 works)

That is equal to 1 > 2, which is not correct. One is not larger than two.

x+6 < 19 | ✅

This can be rewritten as 3+6 < 19 (for the same reason as above)

That is equal to 9 < 19. 19 is greater than 9, so this is correct.

x < 2 | ❌

This can be rewritten as 3-2 > 2.

That is equal to 1 > 2, which is wrong.

5x < 20 | ✅

This can be rewritten as 5 x 3 < 20

That is equal to 15 < 20, which is correct. 15 is less than 20.

x < 8 | ✅

This can be rewritten as 3 < 8.

3 is less than 8, so this is correct.

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I hope that this was helpful! Have a good day.