At what values of x does the function y = 2x-4 take positive values?
September 11, 2021 | education
| In order to find out at what values of the variable x of the function y = 2x – 4 takes positive values, we must solve the inequality.
So, we need to find those values of x for which y> 0.
We get the linear inequality:
2x – 4> 0;
We transfer the terms without a variable to the right side of the inequality and get:
2x> 4;
We divide both sides of the inequality by 2 and thereby get rid of the coefficients in front of the variable:
x> 4: 2;
x> 2.
We can write the answer as an interval: x belongs to (2; + infinity).
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