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Kin90ful
09.07.2019 •
Mathematics
1212 times a number xxx, subtracted from 343434, is greater than 8.8.8, point write an inequality for the statement above. find the solution set of the inequality. write the solution using a fraction or integer.
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Ответ:
The variable is taken x for unknown number here.
Given statement: 12 times a number x subtracted from 34 is greater than 8.
Times represents multiplication operation.
12 times x = 12*x = 12x.
So, we setup an inequality for above statement as
34 -12x > 8.
Therefore, required inequality is 34 -12x > 8.
Let us solve the inequality for x now.
34 -12x >8
Subtracting 34 from both sides, we get
34-34 -12x > 8-34
-12x > -26.
Dividing both sides by -12, we get
-12x/-12 > -26/-12
x < 13/6. ( Note: on dividing by a negative number, the inequality sign get flip).
So, the solution is x< 13/6.
Ответ:
Step-by-step explanation:
We have been given that 12 times a number x is subtracted from 34, is greater than 0.8.
Let use translate our given statement in an inequality.
12 times a number x would be
.
We have been given that 12 times a number x is subtracted from 34, so our expression would be:
.
12 times a number x is subtracted from 34, is greater than 0.8. We can represent this information in an inequality as:
Let us solve for x.
We know that dividing inequality by a negative number flips inequality sign.
Therefore, the solution for our given inequality is
and
interval notation.
Ответ: