How do you solve the inequality $5 (2 m - 4) - 5 < 55$ $5(2m-4)-5<55$ ?

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Answer 1 · 2018-06-21T09:38:19

$m < 8$ $m<8$

$5 (2 m - 4) - 5 < 55$ $5(2m-4)-5<55$

Expand

$10 m - 20 - 5 < 55$ $10m-20-5<55$

Group

$10 m < 55 + 20 + 5$ $10m<55+20+5$

$10 m < 80$ $10m<80$

Divide both sides by $10$ $10$

$m < 8$ $m<8$

So

$m={7,6,5,4,3,...}$

How do you solve the inequality 5(2m-4)-5<555(2m−4)−5<555(2m-4)-5<55?