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Solving inequality equations & absolute value

AB
x+1>2x>1
x-2<5x<7
x-10>0x>10
all real numbers x that are less than –6x<-6
The product of 4 and x is greater than 284x>28
6m + 1 ≤ 2m – 3m≤-1
5(2w – 1) ≥ 15x≥2
–2x ≥ 12x≤-6
x + 1 ≤ –2x + 10x≤3
–12x>–48x<4
–3m – 8 ≤ 2m + 7m≥3
4 – 3x > 10x<–2
Jenny earns $25 per item she sells plus a base salary of $50 per week. Write and solve an inequality to find how many items she must sell to earn at least $400 per week.x≥14
3 < x + 7 ≤ 10x>–4 and x≤3
–12 ≤ –3x ≤ 9x≤4 and x≥-3
–2x ≤ –14 or 11x < 22x≥7 or x<2
10x < –20 or 5x > 15x<-2 or x >3
|x| = 11x=11 or x=–11
2|x| = 10x=5 or x=–5
|x|+ 1 = 3x=2 or x=–2
|x|+ 5= 2no solution
4|x| + 1 = 13x=3 or x=–3
|x|+ 5= 12x=7 or x=–7
|x+5|+ 2 = 16x=9 or x=–9
|x–1|+ 2 = 15x=14 or x=–12
2|x–1|+ 4 = 14x=6 or x=–4
|x| ≥ 11x≥11 or x≤–11
2|x| < 10x<5 and x>–5
2|x+3|–1 ≤ 17x≥6 or x≤–12
2|x+3|+11 ≤ 10no solution


math & science teacher
Academy of the New Church Girls School
Bryn Athyn, PA

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