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Sagot :
All cases rewritten in the form of difference expressions are listed below:
- x - 1/2 = 0, x + 1/3 = 0
- x + 3 = 0
- x - 5 ≤ 0
- x + 1/3 ≥ 0
How to translate equalities and inequalities into difference expressions
Equalities represent relationships between two expressions, in which one expression is equal to another. An equality (x = a) is equivalent to the following difference expression:
x - a = 0 (1)
And inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:
x - a = b (2)
Where b have the following cases:
- If x < a, then b < 0.
- If x > a, then b > 0.
- If x ≤ a, then b ≤ 0.
- If x ≥ a, then b ≥ 0.
Now we proceed to rewrite each case in term of difference expressions:
- x - 1/2 = 0, x + 1/3 = 0
- x + 3 = 0
- x - 5 ≤ 0
- x + 1/3 ≥ 0
To learn more on inequalities, we kindly invite to check this verified question: https://brainly.com/question/19491153
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