Question

x/3+2x/15< less than with aline under it 2/3 what is the solution set

Answer 1

please help me

Answer 2

Less than what?

Answer 3

2/3

Answer 4

\[\frac{x}{3}+\frac{2x}{15}<\frac{2}{3}\] Multiply both sides by 15 first

Answer 5

This will also cancel the 3s in the denominator as 15 is a multiple of 3

Answer 6

yes but the symbol for less than has a line under it

Answer 7

That means 'less than or equal to'. Treat it the same as a normal 'less than' algebraically.

Answer 8

oh

Answer 9

\[< \rightarrow \le\]

Answer 10

ok got ya so how would i get the solution set

Answer 11

Although obviously when you're computing possible answer take account that it could also be equal to the thing.

Answer 12

Multiplying by 15:\[5x+2x \le 10\]

Answer 13

Rearrange to make x the subject, and there is your answer.

Answer 14

can you help me with that

Answer 15

What is 5x+2x?

Answer 16

7x

Answer 17

\[7x \le 10\]

Answer 18

Divide by 7 to get 1x on the left.

Answer 19

\[\frac{7x}{7}=x \le\frac{10}{7}\]

Answer 20

So x is equal to any number smaller than or up to 10/7

Answer 21

so is the solution set x<10/7

Answer 22

Not the < sign , but with the 'or equal to' line under it, yes.