Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater equal sign from both sides of the inequality :
x/2-(-4)≥0
Step by step solution :
STEP1:
x Simplify — 2
Equation at the end of step1:
x — - -4 ≥ 0 2
STEP2: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 :
-4 -4 • 2 -4 = —— = —————— 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 - (-4 • 2) x + 8 ———————————— = ————— 2 2
Equation at the end of step2:
x + 8 ————— ≥ 0 2
STEP3:
3.1 Multiply both sides by 2
Solve Basic Inequality :
3.2 Subtract 8 from both sides
x ≥ -8
Inequality Plot :
3.3 Inequality plot for
0.500 x + 4.000 ≥ 0
One solution was found :
x ≥ -8
