Answer:
H>12
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "65.7" was replaced by "(657/10)". 3 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
(19/10)*(h)+(429/10)-((657/10))>0
Step by step solution :
STEP
1
:
657
Simplify ———
10
Equation at the end of step
1
:
19 429 657
((—— • h) + ———) - ——— > 0
10 10 10
STEP
2
:
429
Simplify ———
10
Equation at the end of step
2
:
19 429 657
((—— • h) + ———) - ——— > 0
10 10 10
STEP
3
:
19
Simplify ——
10
Equation at the end of step
3
:
19 429 657
((—— • h) + ———) - ——— > 0
10 10 10
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:
19h + 429 19h + 429
————————— = —————————
10 10
Equation at the end of step
4
:
(19h + 429) 657
——————————— - ——— > 0
10 10
STEP
5
:
Adding fractions which have a common denominator :
5.1 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:
(19h+429) - (657) 19h - 228
————————————————— = —————————
10 10
STEP
6
:
Pulling out like terms :
6.1 Pull out like factors :
19h - 228 = 19 • (h - 12)
Equation at the end of step
6
:
19 • (h - 12)
————————————— > 0
10
STEP
7
:
7.1 Multiply both sides by 10
7.2 Divide both sides by 19
Solve Basic Inequality :
7.3 Add 12 to both sides
h > 12
Inequality Plot :
7.4 Inequality plot for
1.900 X - 22.800 > 0
