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Determine whether each number is a solution of the
given inequality

8m - 6 < 10
when m = 3

O YES (m = 3 is a solution of the inequality)
o NO (m = 3 is not a solution of the inequality)


Determine Whether Each Number Is A Solution Of The Given Inequality 8m 6 Lt 10 When M 3 O YES M 3 Is A Solution Of The Inequality O NO M 3 Is Not A Solution Of class=

Sagot :

Answer:

  • NO (m = 3 is not a solution of the inequality)

The line graph is also attached below.

Step-by-step explanation:

Given

[tex]8m-6<10[/tex]

Add 6 to both sides

[tex]8m-6+6<10+6[/tex]

Simplify

[tex]8m<16[/tex]

Divide both sides by 8

[tex]\frac{8m}{8}<\frac{16}{8}[/tex]

Simplify

[tex]m<2[/tex]

Therefore, m = 3 NOT a solution of the inequality because 'm' must be less than 2.

Hence,

  • NO (m = 3 is not a solution of the inequality)

VERIFICATION:

Given

[tex]8m-6<10[/tex]

substitute m = 3

8(3) - 6 < 10

24 - 6 < 10

18 < 10

FALSE