If a⊕ b= 1 / a + 1 / b, for what decimal value of a is a⊕ 0.2 = 10?

a = 0.2

Step-by-step explanation:

Given the operation a⊕ b= 1 / a + 1 / b, it can be inferred from the operation that a is similar to 1/a and b is similar to 1/b.

For the operation a⊕ 0.2 = 10, on applying the rule above;

1/a+1/0.2 = 10

1/a + 5 = 10

1/a = 10-5

1/a = 5

a = 1/5

a = 0.2

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

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