danimalsstrawberry
Answered

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Solve the following inequality.
m-2
<-2 OR 4m +3 > 15
3
m < [?] OR m > [ ]

Solve The Following Inequality M2 Lt2 OR 4m 3 Gt 15 3 M Lt OR M Gt class=

Sagot :

akposevictor

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Given the following inequality,

[tex]\frac{m - 2}{3} < -2 \\[/tex]

or

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

[tex]\frac{m - 2}{3} < -2 \\[/tex]

  • Multiply both sides by 3

[tex]\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6[/tex]

  • Add 2 to both sides

[tex]m - 2 + 2 < -6 + 2\\\\m < -4[/tex]

Or

4m + 3 > 15

  • Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

  • Divide both sides by 4

[tex]\frac{4m}{4} > \frac{12}{4} \\\\[/tex]

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

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