Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
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Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
X = 5 -
-7x - 3x + 2 = -8x - 8
+ 7x +7x
-3x + 2 = -x - 8
+3x +3x
2 = 2x -8
+8 +8
10 = 2x
/2 /2
x = 5
Answer:
there are 3 solutions
Step-by-step explanation:
you do it in the correct order
Decimal form: 18.8
Mixed number: -18 4/5
Exact form: -94/5
11 as many fiction books as non fiction.
Fiction books F, Non Fiction NF
F: NF = 11 : 1
Total ratio 11+ 1 = 12.
Fraction of Fiction books F, = 11/12
Total books = 312.
Fiction books = 11/12 * 312 = 286
Fiction books = 286
