Solve –9(x – 2) < –72.?

-9(x - 2) < -72
-9x + 18 < -72
-9x < -90
x > 10

Tot: Oh my goodness! i'm going to guess your instructor has in no way under pressure the significance of understanding a Cardinal Rule of math.it truly is: " possible upload, subtract, multiply, divide, sq., take sq. roots, exchange indications(+to-) (-to+) on one area of sny equation by utilising any fee and the equation will proceed to be spectacular as long as ONE DOES the appropriate comparable element TO the different area utilising the appropriate comparable.VALUES." a million.24=3hr. We divide the two factors by utilising 3 to get 8 miles=1hr.; velocity =8miles/hr.=B 2. w+fifty 8=ninety 8. We subtract fifty 8 from the two factors to get : w=40. B 3. C=$109 +$6(d-3) C= $109 +$6 (9-3); C=$109 +$6(6); C=109 +$36; C=$one hundred forty five=A 4. 5x+3>-7; We subtract 3 from the two factors to get 5x=-10; We divide the two factors by utilising 5 to get X>-2 and not one of the concepts are spectacular. Who wrote those options ? 5. 10x + 5>5; 10x>5-5; 10x>0; X>0 B 6. 6x=12; divide the two factors by utilising 6; X=2. C. 7. 8(m+5)=sixteen . Step a million: We clean the parenthesis: 8m +40=sixteen; Step 2: We subtract 40 from the two sided; 8m+40-40=sixteen-40; 8m=-24; Step 3 : We divide the two factors by utilising 8; 8m/8=-24/8; m=-3 B 8. 9x+9=-9 word: we are able to do this one 2 procedures: Diving 1st. and including/sub. final or including/sub. first and diving final. on account that each and each has a 9 by way of fact the interger, I chosen to divide first 9x/9 +9/9 =-9/9; X+a million=-a million Subtracting a million from bothh factors we get X+a million-a million=-a million+(-a million); X=-a million and a -a million=-2 D Now you do the final 2 so which you would be unfastened to fly on your individual. basically use the comparable reasoning we used interior the 1st 8. sturdy success.

72 < 9 ( x - 2 )

8 < x - 2

10 < x

x > 10

-9(x-2) < -72
x-2 > 8
x > 10

-9(x-2) < - 72 = x-2 > 8 = x> 10

-9x+18<-72
-9x<-90, whilst dividing to a negative numerial,you MUST change < sign direction,
x>10
God bless you.

-9(x - 2) < -72
x - 2 > -72/(-9)
x - 2 > 8
x > 8 + 2
x > 10

Divide both side by -9
–9(x – 2) < –72
=x-2 >8
You change the < to > when you divide or multiply by negative.
Add 2

x>10

Divide both sides by -9, which flips the inequality around because -9 is negative:
x-2 > 8
Add 2 to both sides:
x > 10

Another one?!?!!

Okay first, instead of distributing, since that's the only expression on the left side, I would divide both sides by -9. This would change the sign.
x-2 > 8
Add 2.
x>10


Only divide -9 by both sides if it's in that form, if it's like this...
-9(x-2) + 9/x or something, move the 9/x to the other side.