Solve for h. 6+h+8=24

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 :

i think option 4 is correct answer.