Question

Solve for x.

x4≥−8



A x≥−2


B x≥−32


C x≤−2


D x≤−32

Answer 1

Explanation:

4x≥−8

x≥−8/4

x≥−2

Answer 2

Answer:b

Explanation:

Step 1 :

x

Simplify —

4

Equation at the end of step 1 :

x

— - -8 ≥ 0

4

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

-8 -8 • 4

-8 = —— = ——————

1 4

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 - (-8 • 4) x + 32

———————————— = ——————

4 4

Equation at the end of step 2 :

x + 32

—————— ≥ 0

4

Step 3 :

3.1 Multiply both sides by 4

Solve Basic Inequality :

3.2 Subtract 32 from both sides

x ≥ -32

Inequality Plot :

3.3 Inequality plot for

0.250 x + 8.000 ≥ 0

One solution was found :

x ≥ -32