Question

Can someone help me solve, -4x - 5 > -9 and describe the graph of the solution. (without giving me the answer)

x > 1; closed circle on 1, shading to the right

x < 1; closed circle on 1, shading to the left

x < 1; open circle on 1, shading to the left

x > 1; open circle on 1, shading to the right

Answer 1

spose the > was an =, how would you solve for x ?

Answer 2

+5 to both sides

Answer 3

good start

-4x - 5 > -9
+5 +5
------------
-4x > -4

keep going

Answer 4

then do -4 divide on both sides

Answer 5

good, but we have to keep something in mind when we multiply or divide by a negative

-4x > -4
/-4 /-4
---------
x ?? 1

we have to flip the sign around

Answer 6

so x<1??

Answer 7

for example

-5 < 2 , this is apparent; but if we multiply both sides by -1 we get

5 < -2 , which is false; so to correct it we flip the sign
5 > -2

Answer 8

x < 1 is correct, not to determine a solid or open circle

Answer 9

ok

Answer 10

solid means we include it; open means we get near to it, but never include it

Answer 11

ok

Answer 12

so, would you say x < 1 is an open or closed circle on the graph?

Answer 13

x < 1; open circle on 1, shading to the left ?

Answer 14

correct

Answer 15

ok thank you for the help.

Answer 16

youre welcome