Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. − | 8 − v | ≥ − 6

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Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible.  −      |    8  −  v      |    ≥  −  6

humbast2 · Accepted Answer

Step 1Solve the given inequality as shown below, follow the steps:  −      |    8  −  v      |    ≥  −  6[multiply both sides by -1 and reversethe sign]  ⇒      |    8  −  v      |    ≤  6[recell:       |    a      |    ≤  b  ⇒  −  b  ≤  a  ≤  b ]  ⇒  −  6  ≤  8  −  v  ≤  6[subtract 8 in both sides]  ⇒  −  6  −  8  ≤  −  v  ≤  6  −  8  ⇒  −  14  ≤  −  v  ≤  −  2[multiply each side by -1 and reverse the signs]  ⇒  14  ≥  v  ≥  2  ⇒  2  ≤  v  ≤  14The solution written in intervalnotation is:  [  2  ,     14  ]

Solve the equations and inequalities. Write the answers to the inequalities in interval notation if

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