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2006-07-29 01:45:04 · 14 answers · asked by funmzire 5 in Science & Mathematics Mathematics

14 answers

Until you solve for x, there are 3 integers(4, 3, 8).

The absolute value of 4x+3 being less than 8 would yield the following integers: -2, -1, 0, 1 as possible solutions for x. AND 4, 3, and 8 also happen to be integers, so that would be SEVEN(7) INTEGERS in the equation.

The straight brackets enclosing the algorithm indicate absolute value.

in·te·ger ( P ) Pronunciation Key (nt-jr)
n. Mathematics

A member of the set of positive whole numbers 1, 2, 3,... , negative whole numbers -1, -2, -3,... , and zero {0}.

A complete unit or entity.

Link is for definition that zero is an integer.

2006-07-29 02:14:28 · answer #1 · answered by Anonymous · 5 0

8 > 4x + 3 > -8
=>8-3 > 4x > -8-3
=>5 > 4x > -11
=>5/4 > x > -11/4
=> 1.25> x > -2.75
for integer only solution
x = 1,0,-1,-2

2006-07-31 11:17:49 · answer #2 · answered by fireashes 4 · 0 0

4

2006-07-29 01:48:42 · answer #3 · answered by Ivanhoe Fats 6 · 0 0

4 integers

4x + 3 < 8 if x>=0 so x <5/4 so x =1 x=0

- 4x - 3 <8 if x<0 so -4x<11 x>-11/4 ; x> - 2.7 so x= -2

and x = -1

2006-07-29 01:59:53 · answer #4 · answered by Roxi 4 · 0 0

4x means 4 numbers + 3 = 7 < 8
So (4) + 1 + 1 + 1 = 7
There are 7 integers in your equation.

2006-07-29 02:26:02 · answer #5 · answered by Charles D 2 · 0 0

The solve of this equation is x is one should to compartment (-11/4, 5/4). So there is three integers -2, -1 and 1.

Hey people!!! Zero is not integer!!!

2006-07-29 02:09:47 · answer #6 · answered by natasha_thorn 1 · 0 0

|4x + 3| < 8
4x + 3 < 8 or 4x + 3 > -8
4x < 5 or 4x > -11
x < (5/4) or x > (-11/4)

(-11/4) < x < (5/4)
-2.75 < x < 1.25

the intergers are -2, -1, 0, and 1

if 0 is excepted, then there are 4 intergers, but if not, then there are only 3.

2006-07-29 03:30:41 · answer #7 · answered by Sherman81 6 · 0 0

|4x+3| < 8
-8 < 4x+3 < 8
-11 < 4x < 5
-11/4 < x < 5/4
so.. There are four intergers -2,-1,0,1

2006-07-29 01:58:09 · answer #8 · answered by Anonymous · 0 0

divide the completed element with suggestions from the coefficient of x. all values in the determination of those numbers are in answer. a) -2

2016-11-26 22:15:32 · answer #9 · answered by ? 4 · 0 0

1,0,-1,-2,-3,........... negative infinity

2006-07-29 03:23:36 · answer #10 · answered by achin_agarwal 2 · 0 0

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