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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x

Respuesta :

The only correct answer is: –6x + 15 < 10 – 5x.

–3(2x – 5) < 5(2 – x) simplifies to –6x + 15 < 10 – 5x 

now, if you continue to reduce the inequality:

–6x + 15 < 10 – 5x    subtract 15 from both sides

–6x <  –5 – 5x           add 5x to both sides

–x <  –5                     multiply each side by -1

x > 5                          flip the inequality sign since you multiplied by a negative number

Answer:

-6x+15<10--5x

Step-by-step explanation:

Lets multiply to figure it out. -3*2x is -6x. -3*-5=15. This means the only possible correct answer is C. -6x+15<10--5x is the only answer