The solution set for the inequality 3x - 5 ≥ -7 is x ≥ -2/3, indicating that the possible values for the number extend from -2/3 to positive infinity.
To identify the possible values for the unknown number, let's create and solve the inequality derived from the given statement: "The result of subtracting 5 from three times a certain number is at least -7." Mathematically, this is represented as 3x - 5 ≥ -7, where x is the unknown number.
To solve this inequality, we can first add 5 to both sides, resulting in 3x ≥ -2. Then, by dividing both sides by 3, we obtain x ≥ -2/3. This means that any number greater than or equal to -2/3 will satisfy the given condition.
Therefore, the possible values for the number are all real numbers x such that x ≥ -2/3. In interval notation, this can be expressed as (-2/3, +∞), indicating that the possible values extend from -2/3 to positive infinity.
In summary, the unknown number must be greater than or equal to -2/3 to satisfy the condition that subtracting 5 from three times the number results in at least -7.
The question probable may be:
The result of subtracting 5 from three times a certain number is at least -7. What could be the possible values for that number?