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question 6 solve the following inequality. y - 4 > -6 1) write the answ…

Question

question 6
solve the following inequality.
y - 4 > -6

  1. write the answer as an interval, use \oo\ (two lower case os) for ∞.
  2. graph the solution set.

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Explanation:

Step1: Isolate the variable y

Add 4 to both sides of the inequality $y - 4>-6$. We get $y-4 + 4>-6 + 4$, which simplifies to $y>-2$.

Answer:

  1. $(-2, oo)$
  2. On the number - line, we use an open - circle at $-2$ (because $y$ is strictly greater than $-2$, not equal to it) and draw an arrow to the right to represent all the numbers greater than $-2$.