Question

HELP! MEDAL :D

Solve. Express the answer as an inequality statement or the empty set.
x - 3 ≤ 4x and 2x + 6 < 18

@Directrix @SolomonZelman @myininaya @mathstudent55 @texaschic101 @iambatman @whpalmer4 @sammixboo @freckles

Answer 1

can you solve \[x-3 \le 4x \]?

Answer 2

yep

Answer 3

x ≤ 1x?

Answer 4

We are going to solve both inequalities
and take the intersection of the solutions for the inequalities

Answer 5

hmm... well that isn't solved for x

Answer 6

we have x-3<=4x
I would first subtract x on both sides
-3<=3x

Answer 7

do you know what to do here?

Answer 8

you have \[-3 \le 3x\]

Answer 9

to get x by itself you are going to do what to both sides?

Answer 10

divide

Answer 11

by 3 right?

Answer 12

which will give?

Answer 13

wait why and who did you subtract the x at the beginning

Answer 14

how*

Answer 15

]
that is how you undo addition you subtract...