Absolute Value Equations
|-32|+84/6=?
23
The target heart rate during exercise for a 12-year old boy is between 135 and 180 beats per minute inclusive. Write a compound inequality to show the heart rates that are within the target range. Let x be heart rate in beats per minute.
135 ≤ x ≤ 180
|3x| > 42
-14>x>14
Graph this solution
50 + 20h ≥ 300
H ≥ 25/2
2-2 < |2x|
1/8 < x or x< -1/8
|x|+4=33
x=23 or x=-23
5x-3 < -18 or -2x-1 > 15
x<-3 OR x<-8
|4|2-7+x > 32-4
x > -4
For a scholarship competition, Eva had to write an essay. For the essay Eva had to write Had to be more than 250 words, but it couldn't exceed 500 words. Write an inequality that demonstrates Eva's situation, then graph it.
250 ≥ 500
A grandfather, two fathers and two sons went to the movie theater together and everyone bought one movie ticket each. How many tickets did they buy in total
3
√169+|-24x|=253
x= 10 or x=-10
-5x-8 ≤ -6 or 11x-12 < -100
x ≥ 12 or x ≤ -8
|3x-4| > 11+(-9)
x > 2/3 OR x < -2
-5|3x-7|+4 = 14
No Solutio
I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?
Fire
43*(|2x|+4)=256
x=0
6+7x < 6x-5 or 3x-7 < 5+6x
x < -11 or x > -4
−4−3|x|6 ≤ −16
x≥2/3 or x≤-2/3
|b-8|+10>22
b>20 OR b<-4
Can you name three consecutive days without using the words Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, or Sunday?
Yesterday, Today, Tomorrow
(-|5!|-4x)/4=244-|-42|
x=-258
x+18 ≥ 4(2x+1) or 15(x-1) ≤ 5(3x+1)
All real numbers
9|1+8n|-3≥78
n≥1 OR n≤-5/4
2|x+42|-20=6x-42*2
x=37
The police rounded up Jim, Bud and Sam yesterday, because one of them was suspected of having robbed the local bank. The three suspects made the following statements under intensive questioning.
If only one of these statements turns out to be true, who robbed the bank?
Jim robbed the bank