help solve 1) 8x+3<67 2) -6<x+4<5 3) -22<4x-5<-4?

1) 8x + 3 < 67
8x < 64 (minus 3 throughout)
x < 8 (divide by 8 throughout)

2) -6 < x + 4 < 5
-10 < x < 1 (minus 4 throughout)

3) -22 < 4x - 5 < -4
-17 < 4x < 1 (plus 5 throughout)
-17/4 < x < 1/4 (divide by 4 throughout)

particular i will have faith it. that's how one might bypass approximately simplifying this equation. 5(-3x-2)-(x-3)= -4(4x+5)+a million (-15x-10)-x+3= (-16x-20)+a million -15x-10-x+3= -16x-20+a million -15x-x+16x= -20-3+a million+10 -16x+16x= -23+11 0 =/= -12 Yep, valuable that it extremely is -12 (neg. twelve) . a million) Multiply 5 by potential of each and every thing interior the parentheses. circulate around the (=) sign and multiply -4 by potential of each and every thing in that parentheses. 2) clean the parentheses 3) that's the equation without () 4) team like numbers and indicators (x's with x's) (numbers w/ #) 5) Simplify answer 0 isn't equivalent to a -12

1 )
8x< 67-3=64 or x< 8 ans

2 )
-6< x+4<5
if -6<x+4 then -10 <x
if x+4<5 then x<5-4 or x<1
x is greater than -10 but less than 1 is the answer

3)
if -22 <4x-5 then -22+5<4x or -17<4x or -4.25<x
if 4x-5<-4 then 4x<-4+5 or 4x <+1or x<0.25
x is greater than -4.25 but less than 0.25 is the answer

1)x<8
2)-10<x<1
3)-4.25<x<0.25

x<8

-10<x<1

-17/4<x<1/4

1)8x<67-3
x<64/8
x<8
2)-6-4<x+4-4<5-4
-10<x<1
3)-22+5<4x-5+5<-4+5
-17/4<4x/4<1/4
-17/4<x<1/4

1)8X+3<67
8X<64
X < 8

2)-6<X+4<5
-6<X+4
-10<X
X+4<5
X<1
-10 < X < 1

3) -22<4X-5<-4
-22<4X-5
17<4X
17/4<X
4X-5<-4
4X<1
X<1/4
17/4 < X < 1/4

8x < 64 so x<8
-6-4<x<5-4 so -10<x<1
-22 +5<4x<-4+5 so -17/4<x<1/4.
SImpleisn't it!!!

1)
8x + 3 < 67
8x < 67 - 3
8x < 64
x < 64/8
x < 8

2)
-6 < x + 4 < 5
-6 - 4 < x < 5 - 4
-10 < x < 1

3)
-22 < 4x - 5 < -4
-22 + 5 < 4x < -4 + 5
-17 < 4x < 1
-17/4 < x < 1/4 (0.25)

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