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it says solve each compound equality. State the solution set using interval notation and graph it

2007-11-30 11:50:11 · 5 answers · asked by shelah v 1 in Science & Mathematics Chemistry

5 answers

The first inequality is already in terms of x:
x ≤ 0

x is everything to the left of zero (including zero) so you use a closed circle for 0:

<==========@ ------------------>
-3 ... -2 ... -1 .... 0 ..... 1..... 2 ..... 3

The second inequality needs to be solved for x:
x + 6 > 3

Subtract 6 from both sides:
x > 3 - 6
x > -3

In this case x is everything to the right of -3 (but not -3) so you use an open circle.
<----- O======================>
-4 ... -3 ... -2 ... -1 .... 0 ..... 1..... 2 ..... 3

The place where both of these overlap is between -3 and 0
<----- O==========@ ------------------>
-4 ... -3 ... -2 ... -1 .... 0 ..... 1..... 2 ..... 3

-3 < x ≤ 0

In interval notation:
(-3, 0]

2007-11-30 11:58:13 · answer #1 · answered by Puzzling 7 · 0 1

f(x) = (x+2)(x-a million)(x-3)<=0 Make a table, concentrating on the periods x>3 a million

2016-11-13 02:31:59 · answer #2 · answered by Anonymous · 0 0

x<=0

the solution set for this would be (-infinity, 0]. (sorry can't graph it)

x + 6 > 3

x > -3

the solution set for this is (-3, infinity).

2007-11-30 11:55:13 · answer #3 · answered by Anonymous · 0 1

X is -3 or greater

2007-11-30 12:02:38 · answer #4 · answered by No Feeding The Hippies, Please. 4 · 0 1

No offense, but shouldn't you be asking your teachers that? That what they are there for. Don't be shy.

2007-11-30 11:53:57 · answer #5 · answered by diablogtr7 2 · 0 1

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