determine whether -4 satisfies each compound inequality. -3x>0 and 3x -4<11
2007-01-31 12:09:42 · 11 answers · asked by dan b 1 in Science & Mathematics ➔ Mathematics
Can't you just substitue -4 in place of x in both equations? If both inequalities are true, job's a good'n.
2007-01-31 12:14:46 · answer #1 · answered by Gavin P 2 · 0⤊ 1⤋
Ok, the way to solve this problem is simple; just substitute -4 for x and see if the inequalities are true.
a. -3x > 0
-3(-4) > ? 0
12 > 0 12 is greater than zero, so the result is correct
b. 3x - 4 < 11
-3(-4) - 4
12 - 4
8 < 11 8 is smaller than 11...so the result is correct
Good luck!
2007-01-31 12:16:41 · answer #2 · answered by alrivera_1 4 · 0⤊ 0⤋
determine whether -4 satisfies each compound inequality. -3x>0 and 3x -4<11
In the first case we have 12>0 which is true
In the 2nd case we have -16<11 which is also true
Therefore -4 satisfies both inequalities.
2007-01-31 12:16:34 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
all you have to do is plug in -4 into the question and then see if the inequality works
-3x>0
-3(-4) > 0
12>0 12 is greater then 0 so it works
3x-4<11
3(-4)-4<11
-12-4<11
-16<11 -16 is less then 11 so this also works
hope that was helpful
2007-01-31 12:13:52 · answer #4 · answered by MkP2o02 3 · 0⤊ 0⤋
1) - 3x > 0
First: substitute "- 4" with the x-variable in the inequality...
- 3(-4) > 0
Sec: combine the values...
12 > 0
True
Third: yes --- the value "- 4" satisfies the inequality.
2) 3x - 4 < 11
First: substitute the value "-4" with the x-variable...
3(-4) - 4 < 11
Sec: combine the terms...
-12 - 4 < 11
- 16 < 11
True
Third: yes --- the value "- 4" satisfies the inequality.
2007-01-31 12:25:35 · answer #5 · answered by ♪♥Annie♥♪ 6 · 1⤊ 0⤋
It satisfies the first one, because it would be 12>0.
Also, it satisfies the second one because -16<11 is true too
2007-01-31 12:13:52 · answer #6 · answered by Gerald 2 · 0⤊ 0⤋
-3(-4) = 12; 12>0 TRUE
3(-4) - 4 = -16; -16 < 11 TRUE
It does.
2007-01-31 12:13:38 · answer #7 · answered by disposable_hero_too 6 · 0⤊ 0⤋
plug in -4 for x: -3(-4) > 0. What's -3 time -4? Is it greater than 0?
2007-01-31 12:14:10 · answer #8 · answered by koolkat 3 · 0⤊ 2⤋
Yes.
(-3)(-4) = 12 >0
3(-4) - 4 = -12 - 4 = -16 <11
Both are true.
2007-01-31 12:13:51 · answer #9 · answered by Northstar 7 · 0⤊ 0⤋
Why can't you do this one buckwheat?
Plug in -4 for x and see if the equations remain true.
And there you have it, the answer is YES!
2007-01-31 12:15:43 · answer #10 · answered by Anonymous · 1⤊ 0⤋