Respuesta :

Answer:

we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Step-by-step explanation:

Given the expression

[tex]4 < -2x + 3 < 9[/tex]

SECOND STEP

subtract 3 from the right-hand side as well as on the left-hand side

[tex]4-3 <-2x+3-3<9-3[/tex]

SOLVING THE REMAINING COMPLETE COMPRESSION

[tex]1 < -2x < 6[/tex]

Divide all parts by -2

  • Please note that multiply or divide an inequality by a negative number flips the inequality sign.

so the expression becomes

[tex]\frac{1}{-2}\:<\:\frac{-2x}{-2}\:<\:\frac{6}{-2}[/tex]

[tex]\frac{1}{-2}\:>x\:<\:-3[/tex]

Hence, from the explanation, we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

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