Answer:
h ≤ -12/5
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "8.4" was replaced by "(84/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :
h-6-(-(84/10))≤0
Step by step solution :
STEP
1
:
42
Simplify ——
5
Equation at the end of step
1
:
42
(h - 6) - (0 - ——) ≤ 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
h - 6 (h - 6) • 5
h - 6 = ————— = ———————————
1 5
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 :
2.2 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:
(h-6) • 5 - (-42) 5h + 12
————————————————— = ———————
5 5
Equation at the end of step
2
:
5h + 12
——————— ≤ 0
5
STEP
3
:
3.1 Multiply both sides by 5
3.2 Divide both sides by 5
h+(12/5) ≤ 0
Solve Basic Inequality :
3.3 Subtract 12/5 from both sides
h ≤ -12/5
Inequality Plot :
3.4 Inequality plot for
h + 2.400 ≤ 0
