Answer:
h<-20
We think you wrote:
-24>6/7(h-8)
This deals with linear inequalities.
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1 solution(s) found
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Step by Step Solution
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Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-24-(6/7*(h-8))>0
Step by step solution :
STEP
1
:
6
Simplify —
7
Equation at the end of step
1
:
6
-24 - (— • (h - 8)) > 0
7
STEP
2
:
Equation at the end of step 2
6 • (h - 8)
-24 - ——————————— > 0
7
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 7 as the denominator :
-24 -24 • 7
-24 = ——— = ———————
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 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:
-24 • 7 - (6 • (h-8)) -6h - 120
————————————————————— = —————————
7 7
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
-6h - 120 = -6 • (h + 20)
Equation at the end of step
4
:
-6 • (h + 20)
————————————— > 0
7
STEP
5
:
5.1 Multiply both sides by 7
5.2 Divide both sides by -6
Remember to flip the inequality sign:
Solve Basic Inequality :
5.3 Subtract 20 from both sides
h < -20
Inequality Plot :
5.4 Inequality plot for
-0.857 X - 17.143 < 0
One solution was found :
h < -20