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Answer (4)
The number is less than 12. ;
The solution to the inequality is x<12. This means that any number less than 12 satisfies the given condition.
Consider a scenario where we have a certain unknown number, and we want to express a relationship involving this number.
Let's denote the unknown number as x.
The problem states that the sum of half of the number and two-thirds of the number is less than 14. Mathematically, this can be expressed as:
2 1 x + 3 2 x < 14
Now, let's break down this expression and understand the meaning of each term.
The term 2 1 x represents half of the number x. Similarly, the term 3 2 x represents two-thirds of the number x.
The sum of these two expressions, 2 1 x + 3 2 x, is the total of half and two-thirds of the number.
The inequality 2 1 x + 3 2 x < 14 indicates that this sum is less than 14.
In other words, if we take half o f a certain number and add two-thirds of the same number, the result is less than 14.
To find the possible values for x, we can solve the inequality:
2 1 x + 3 2 x < 14
Combining the terms on the left side, we get:
6 3 x + 6 4 x < 14
Simplifying further:
6 7 x <14
Now, to isolate x, we can multiply both sides of the inequality by the reciprocal of 6 7 , which is 7 6
x < 7 14 × 6
x<12
So, the solution to the inequality is x<12.
The inequality representing the situation is x < 12 . This shows that the number must be less than 12. We derived this by summing half and two-thirds of the number and comparing it to 14.
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Jawaban:Mia ( masa Orientasi Siswa /i)
