Which symbol in place of the question mark makes the inequality 2x

? 20 true for the solutions 10, 11, and 12?

1 answer

The inequality is 2x ? 20, and we want it to be true when x takes the values 10, 11, and 12. We can simply substitute these values one by one and see which symbol works for all three:

- When x=10, we have 2x = 20, which is equal to 20. So if we use the equal sign, the inequality becomes 20 = 20, which is true.
- When x=11, we have 2x = 22, which is greater than 20. So if we use the greater than sign, the inequality becomes 22 > 20, which is true.
- When x=12, we have 2x = 24, which is greater than 20. So again, if we use the greater than sign, the inequality becomes 24 > 20, which is true.

Therefore, the symbol that makes the inequality true for all three solutions is the greater than sign, shown as 2x > 20.