Anonymous Anonymous

30-01-2015
Mathematics

Answered

For which value of a are all the solutions of 2(x-5)>3x+a less than or equal 5?

Verified Answer :

31-01-2015

\(2(x-5)>3x+a \\ 2x-10 > 3x+a \\ 2x-3x>a+10 \\ -x>a+10 \ \ \ |\times (-1) \\ x<-a-10\)

The solutions must be less than or equal to 5.
\(-a-10 \leq 5 \\ -a \leq 5+10 \\ -a \leq 15 \ \ \ |\times (-1) \\ a \geq -15\)

All the solutions are less than or equal to 5 for a≥-15.

Answer Link

Related Questions

Why did Spanish leaders want to push control into North America in the mid1500s

A sweater is on sale for 30 off the ticketed price of 42 How much will the sweater cost after the discount

An argument appeals primarily to 10 points stories friends logic science

What were the western influence on japenese

find the zeros of yx1 from a graph

of the following which is most likely to result after a farmer sprays his crops with pesticides

What does the metaphor the thunder was a lion means

what is the ratio of 5 hours to 100 minutes

Of 500 people who used the internet to find pet information 390 said they used it when buying a pet What portion used the internet when buying a pet

Which of the following statements incorrectly depicts the scientific method A Hypotheses are tested through experimentation and will be supported or refuted by