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Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Respuesta :

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I don't exactly know how to explain step 2 but the working is:
5 - 8x < 2x + 3
5 - 3 < 2x + 8x
2 < 10x
5 < x

(I'm sorry if it's wrong)

Answer:

Given inequality:  [tex]5-8x<2x+3[/tex]

Step 1. Subtract 3 from both sides of the inequality:

[tex]5-8x-3<2x+3-3[/tex] or

[tex]2-8x<2x[/tex]

Step 2: Add 8x both sides of the inequality:

[tex]2-8x+8x<2x+8x[/tex] or

[tex]2<10x[/tex]

Step 3: Divide both sides of the inequality by the coefficient of x (i.e, 10).

[tex]\frac{2}{10}< \frac{10x}{10}[/tex]

Simplify:

[tex]\frac{1}{5} <x[/tex]

Therefore, the missing steps is: Add 8x both sides of the inequality



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