Question

Solve for b: 1 1/8 + b ≥ 7/16

A) b ≤ 1/16
B) b ≤ 5/16
C) b ≥ 9/16
D) b ≥ 3/16

Answer 1

To solve for b, subtract 1 1/8 from both sides of the inequality, find a common denominator for the fractions, and simplify the fraction. The solution is b ≥ -1/8.

Step-by-step explanation:

To solve for b in the inequality 1 1/8 + b ≥ 7/16, we need to isolate b on one side.

First, subtract 1 1/8 from both sides:

b ≥ 7/16 - 1 1/8

To subtract fractions, we need to find a common denominator. The least common denominator (LCD) for 16 and 8 is 16. So, we rewrite the equation as:

b ≥ 7/16 - 9/16

Now, subtract the fractions:

b ≥ (7 - 9)/16

b ≥ -2/16

Simplify the fraction:

b ≥ -1/8

So, the solution for b is b ≥ -1/8.