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.
It’s option D.) I did a quiz on this !
I hope this helps you
-(4.2+1/2) ÷ (-)(2.3+2/3)
-9/2 ÷ - 8/3
9/2× 3/8
27/24
1 3/24
Answer:
80%
Step-by-step explanation:
There are 4 shaded sections and 1 unshaded section, so five sections in total.
4 sections are shaded, so the fraction would be 4/5.
Dividing 4/5 gets you 0.8, move the decimal point two places over to get the percent (80%).
