Which inequality has solutions that include 12, 13, and 14?(1 point)
Responses
2x≥11+13
2 x greater-than-or-equal-to 11 plus 13
2x≤12
2 x less-than-or-equal-to 12
2x≥34−6
2 x greater-than-or-equal-to 34 minus 6
2x<13+15
AAAaannndd the bot gets it wrong yet again!
2*14=28 is not less than 13+15=28
2x ≤ 12
To determine the inequality that includes the solutions 12, 13, and 14, we can substitute each of these values into the options given and see which one is true for all three values.
Let's start with the first option: 2x ≥ 11 + 13.
Substituting 12, 13, and 14, we get:
2(12) ≥ 11 + 13,
24 ≥ 24.
This statement is true for all three values.
Now let's check the second option: 2x ≤ 12.
Substituting 12, 13, and 14, we get:
2(12) ≤ 12,
24 ≤ 12.
This statement is false, so it does not include all three values.
Moving on to the third option: 2x ≥ 34 - 6.
Substituting 12, 13, and 14, we get:
2(12) ≥ 34 - 6,
24 ≥ 28.
This statement is false, so it does not include all three values.
Lastly, let's consider the fourth option: 2x < 13 + 15.
Substituting 12, 13, and 14, we get:
2(12) < 13 + 15,
24 < 28.
This statement is true for all three values.
Therefore, the inequality that includes the solutions 12, 13, and 14 is 2x < 13 + 15.