Question

What is the justification for each step in solving the inequality?

Answer 1

Answer:

The correct justification is as follows.

The given expression is : $75x+35\geq 7(11x+9)+4$

1. $75x+35\geq 7(11x+9)+4$ - given

2.$75x+35\geq 77x+63+4$  - this is distributive property(expanding brackets)

3. $75x+35\geq 77x+67$ - combining the like terms together.        

4. $-2x+35\geq 67$ - This is subtraction property of order(subtracting 77x)

5. $-2x\geq 32$ - again the same subtraction property

6. $x\leq -16$ - division property

Answer 2

75x+35≥7(11x+9)+4     Given

75x+35≥77x+63+4      Distributive Property

75x+35≥77x+67         Combine like terms

−2x+35≥67                 Subtraction Property of Order

−2x≥32                       Subtraction Property of Order

x≤−16                          Division Property of Order

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