Answer :
Final answer:
The solution to the inequality is 'x < 7.5' represented in interval notation as '(-∞, 7.5)'. The filled bracket is not used because 7.5 is not part of the solution for x.
The correct option is B.
Explanation:
The question is about solving an inequality. Simplify the inequality, we first add 8 to both sides of the inequality: 2x - 8 + 8 < 7 + 8. Simplifying it further, we get 2x < 15. We then divide both sides by 2, leading to 'x < 7.5'.
The solution set is the set of all x values satisfying the inequality 'x<7.5'. This can be denoted in interval notation as (-∞,7.5), which represents all the numbers less than 7.5. So, the correct solution to this inequality is B) x | x<7.5.
It's important to note that in interval notation, parentheses '()' are used to indicate that the endpoint is excluded, while square brackets '[]' are used to indicate the endpoint is included.
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