Answer:
b<-3/7
Step-by-step explanation:
step 1:
simplify 5/7
equation at the end
2/7 - (b+5/7)>0
step 2:
Adding a fraction to a whole
Rewrite the whole as a fraction using 7 as the denominator :
b b • 7
b = — = —————
1 7
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
b • 7 + 5 7b + 5
————————— = ——————
7 7
Equation at the end of step
2
:
2 (7b + 5)
— - ———————— > 0
7 7
STEP
3
:
2
Simplify —
7
Equation at the end of step
3
:
2 (7b + 5)
— - ———————— > 0
7 7
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - ((7b+5)) -7b - 3
———————————— = ———————
7 7
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
-7b - 3 = -1 • (7b + 3)
Equation at the end of step
5
:
-7b - 3
——————— > 0
7
STEP
6
:
6.1 Multiply both sides by 7
6.2 Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
7b+3 < 0
6.3 Divide both sides by 7
b+(3/7) < 0
Solve Basic Inequality :
6.4 Subtract 3/7 from both sides
b < -3/7
Inequality Plot :
6.5 Inequality plot for
-b - 0.429 > 0