Answer:
x>10
Explanation:
1/2*x-3-(2)>0
Step by step solution :
Step 1 :
1
Simplify —
2
Equation at the end of step 1 :
1
((— • x) - 3) - 2 > 0
2
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
3 3 • 2
3 = — = —————
1 2
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:
x - (3 • 2) x - 6
——————————— = —————
2 2
Equation at the end of step 2 :
(x - 6)
——————— - 2 > 0
2
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
2 2 • 2
2 = — = —————
1 2
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(x-6) - (2 • 2) x - 10
——————————————— = ——————
2 2
Equation at the end of step 3 :
x - 10
—————— > 0
2
Step 4 :
4.1 Multiply both sides by 2
Solve Basic Inequality :
4.2 Add 10 to both sides
x > 10