Answer :
Answer:
5(4 − x) < 3x + 1
Step-by-step explanation:
Since 5(4 − x) has a value less than y + 12, and 3x + 1 has a value greater than y + 12, the transitive property can relate the two expressions in a single inequality.
The transitive property of inequality is stated below.
If a < b and b < c, then a < c.
So, the statement 5(4 − x) < 3x + 1 is true.
The statement 5(4 − x) < 3x + 1 is true.
What is inequality ?
The mathematical statement in which numbers, variables of both sides are not equal, is called inequality.
Inequality is denoted by the symbols < , > , ≤ , ≥
What is the true statement ?
Given that, 5(4 − x) < y + 12 and y + 12 < 3x + 1
We know that, according to the transitive property of inequality,
If A < B and B < C then A < C
So, Here 5(4 − x) < y + 12 and y + 12 < 3x + 1 ⇒ 5(4 − x) < 3x + 1
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