The inequality which represents all the possible values for x is (2x/3) - 6 ≥ 24.
It is given in the question that the difference of two-thirds of a number x and 6 is at least -24.
We have to find the inequality which represents all the possible values for x.
In mathematics, Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Hence, according to the data given in the question, we can write,
(2x/3) - 6 ≥ 24
Here, we can also find the possible values of x.
(2x/3) - 6 ≥ 24
2x/3 ≥ 24 + 6
2x/3 ≥ 30
x ≥ 30*3/2
x ≥ 45
Hence, every number greater than or equal to 45 will be a possible value of x.
To learn more about inequality, here:-
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