Answer:
8 - 2x <4 gives us x>2
|x-8| >22 gives us (-inf, -14) and (30,inf)
|x+5| < 4 gives us (-9,-1)
Step-by-step explanation:
Inequalities differs from equalities in that they return a range of values for x and not a single value (case of equalities)
The first one
8 - 2x <4 if you subtract every side 8, you will get -2x<-4
Next divide every side with -2, since its a negative number you have to change the orientation of the inequaiity, thus we have x>4/2, x>2
The second
|x-8| >22, it has to be treated as this. -22>x-2>22 which can be treated as two single inequalities, -22>x-8, and the other, x-8>22. The fist gives you x<-14, and the other x>30, two non intercepting ranges, so your range will be (-inf, -14) and (30, inf)
The third
|x+5| < 4 if you apply the same steps from above, you will have the following -4<x+5<4 This results in two intercepting ranges, giving you the range (-9,-1)
The correct answer for the question that is being presented above is this one:
(1) 1 ton is equal to 2,000 pounds. If a male African elephant weighs 7 tons, then in pounds, it has 14,000 pounds.
African lion = (1 / 40) * 14,000
African lion = 350 pounds
So, African lion weighs 350 pounds.
Answer:
Segunda etapa= 123.75 metros
Step-by-step explanation:
Altura total= 225 metros
<u>En la primera estapa subió el 20% (un quinto):</u>
Primera etapa= 225*0.2= 45 metros
<u>En la tercera etapa subió 25% (un cuarto):</u>
Tercera etapa= 225*0.250 56.25 metros
Ahora debemos determinar cuánto subió en la segunda etapa:
Segunda etapa= altura total - total subido
Segunda etapa= 225 - (45 + 56.25)
Segunda etapa= 123.75 metros
