Solve: 1 3 ( p + 2 ) ≤ 3 6 ( p − 2 )

Question

Solve:      1    3    (  p  +  2  )  ≤      3    6    (  p  −  2  )

Alejandra Blackwell · Accepted Answer

Given that      1    3    (  p  +  2  )  ≤      3    6    (  p  −  2  )        1    3    (  p  +  2  )  ≤            p      −      2        2  Multiply with L.C.M of 3,2 = 6      1    3    (  p  +  2  )  6  ≤            p      −      2        2.6      2  (  p  +  2  )  ≤  3  (  p  −  2  )    2  p  +  4  ≤  3  p  −  6Subtract 4 from both sides  2  p  +  4  −  4  ≤  3  p  −  6  −  4    2  p  ≤  3  p  −  10Subtract 3p from both sides  2  p  −  3  p  ≤  −  10    −  p  ≤  −  10Multiply both sides by (-1) and reverse the inequality  −  p  (  −  1  )  ≥  −  10  (  −  1  )    p  ≥  10Hence,The solution set in interval notation is,   [  10  ,  ∞  ]

Solve 1/3(p+2) <= 3/6(p-2)

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