Which symbol in place of the question mark makes the inequality 2x
? 20 true for the solutions 10, 11, and 12?
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.
To determine the symbol that makes the inequality 2x ? 20 true for the solutions 10, 11, and 12, we substitute the values into the inequality.
Substituting x = 10:
2(10) ? 20
20 ? 20
Substituting x = 11:
2(11) ? 20
22 ? 20
Substituting x = 12:
2(12) ? 20
24 ? 20
Based on the given solutions and their substitutions, we can conclude that the symbol in place of the question mark is ">=" (greater than or equal to).