Question

Solve the inequality : -2x – 6 < 4. Be sure to provide the solutions, describe the circles and the shading for the graph. please help !?

Answer 1

First isolate x

Answer 2

-2x – 6 < 4

-2x < 4+6

-2x < 10

x > 10/(-2) .. keep in mind the sign flips when you divide both sides by a negative number

x > -5

Answer 3

To graph x > -5, you

1) draw out a number line

2) plot an OPEN circle at -5

3) shade to the RIGHT of the OPEN circle

Answer 4

thankyou so much! can i ask you just one more question?

Answer 5

Please solve the combined inequality and describe the graph. 3x-6 > -3 and 3x-6 < 12

Answer 6

solve 3x-6 > -3 for x

Answer 7

tell me what you get

Answer 8

i got x>1

Answer 9

i just dont know how to describe it

Answer 10

good, solving 3x-6 > -3 for x gets you x > 1

Answer 11

now let's solve 3x-6 < 12

3x-6 < 12

3x < 12+6

3x < 18

x < 18/3

x < 6

Answer 12

So we originally had 3x-6 > -3 and 3x-6 < 12

solving both gives us x > 1 and x < 6 (same order)

Answer 13

so

x > 1 and x < 6

1 < x and x < 6

1 < x < 6

Answer 14

to graph 1 < x < 6, you

1) draw out a number line

2) plot the OPEN circles at 1 and 6 (2 open circles)

3) shade between these two OPEN circles

Answer 15

thankyou!

Answer 16

yw