Tradurre una frase in una disuguaglianza in un passaggio
Siamo già stati introdotti alle disuguaglianze, che mostrano la relazione tra due quantità che non sono uguali. Qui vengono fornite frasi, che devono essere tradotte in disuguaglianze a un passaggio.
Rules to write one-step inequalities
Una frase ha generalmente tre parti, la sinistra, la metà e la destra.
We proceed from the left part, which usually contains the variable and translate into an expression.
We write the inequality sign from the middle one.
We then write the expression for the right part of the sentence, which is usually a number.
The examples below explain the above rules
Nine subtracted from b is greater than or equal to −21
Solution
Step 1:
We start from the left and proceed towards the right
On the left, there is ‘9 subtracted from b’ and on the right, there is ‘−21’ and the inequality ‘greater than or equal to’ in the middle
Step 2:
‘Nine subtracted from b’ translates to b − 9
So, the statement “Nine subtracted from b is greater than or equal to −21” translates to
b −9 ≥ −21
Seven more than ‘a’ is less than or equal to 18
Solution
Step 1:
We start from the left and proceed towards the right
On the left, there is ‘7 more than ‘a’ ’ and on the right, there is ‘18’ and the inequality ‘less than or equal to’ in the middle
Step 2:
‘Seven more than from ‘a’ translates to a + 7
So, the statement “Seven added to a is less than or equal to 18” translates to
a + 7 ≤ 18