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Find the solution set to each inequality. Express the solution in set notation.

1. 6m+2 -27


4. 8(p-6)>4(p-4)

Sagot :

The solution to the inequality 6m + 2 > -27 is  m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is  p > 8

The given inequality is:

6m  +  2  >  - 27

Subtract 2 to both sides of the inequality

6m  +  2 - 2  >  -27  -  2

6m   >  -29

Divide both sides by 6

[tex]\frac{6m}{6}> \frac{-29}{6} \\m > \frac{-29}{6}\\m > -4.83[/tex]

For the inequality  8(p-6)>4(p-4)

Expand the inequality using the distributive rule

8p  -  48   >  4p  -  16

Collect like terms

8p  -  4p  >  -16  +  48

4p    >  32

Divide both sides of the inequality 4

[tex]\frac{4p}{4} > \frac{32}{4}\\p > 8[/tex]

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

Learn more here: https://brainly.com/question/15816805

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