6 – 1 /3 (x + 4) < 11
Answers
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
6-1/3*(x+4)-(11)<0
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
1
(6 - (— • (x + 4))) - 11 < 0
3
Step 2 :
Equation at the end of step 2 :
(x + 4)
(6 - ———————) - 11 < 0
3
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
6 6 • 3
6 = — = —————
1 3
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 fractions that have a common denominator :
3.2 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:
6 • 3 - ((x+4)) 14 - x
——————————————— = ——————
3 3
Equation at the end of step 3 :
(14 - x)
———————— - 11 < 0
3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
11 11 • 3
11 = —— = ——————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
(14-x) - (11 • 3) -x - 19
————————————————— = ———————
3 3
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-x - 19 = -1 • (x + 19)
Equation at the end of step 5 :
-x - 19
——————— < 0
3
Step 6 :
6.1 Multiply both sides by 3
6.2 Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
x+19 > 0
Mark as brainliest and hope you have a amazing day!
Answer:
Idk
Step-by-step explanation:
Idk