Question 1120558
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We need to have
7-0.54 < 2x+1 < 7+0.54
6.46 < 2x+1 < 7.54
5.46 < 2x < 6.54
2.73 < x < 3.27<br>
Since this is a linear function, the upper and lower limits are the same distance of 0.27 from 3.<br>
So to guarantee that 2x+1 is within 0.54 units of 7, x has to be within 0.27 units of 3.<br>
The preceding is a formal process for finding the solution.  Since this is a linear function with a slope of 2, it should be obvious that x needs to be within 0.27 units of 3 for f(x) to be within 0.54 units of 7.