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Sagot :
Answer:
[tex]-3 < x < -2[/tex]
Step-by-step explanation:
Seperate compound inequalities into system of inequalities: [tex]\left \{ {{-3x-4 > 2} \atop {-3x-4 > 5}} \right.[/tex]
Rearrange unknown terms to the left side of the equation: [tex]-3x > 2+4[/tex]
Calculate the sum or difference: [tex]-3x > 6[/tex]
Reduce the greatest common factor for both sides of the inequality: [tex]-x > 2[/tex]
Divide both sides of the inequality by the coefficient of the variable: [tex]x < -2[/tex]
Rearrange unknown terms to the left side of the equation: [tex]-3x < 5+4[/tex]
Calculate the sum or difference: [tex]-3x < 9[/tex]
Reduce the greatest common factor for both sides of the inequality: [tex]-x < 3[/tex]
Divide both sides of the inequality by the coefficient of the variable: [tex]x > -3[/tex]
Find the intersection: [tex]-3 < x < -2[/tex]
Answer: [tex]-3 < x < -2[/tex]
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