7x/8 + 1/4 > or equal to 3x/4
7x/8 + 1/4 ≥ 3x/4
multiply by +8, the ≥ will stay the same
7x + 2 ≥ 6x
x ≥ -2
To solve this inequality, we will follow these steps:
Step 1: Clear the fractions by multiplying every term by the least common denominator (LCD), which is 8.
8 * (7x/8) + 8 * (1/4) ≥ 8 * (3x/4)
7x + 2 ≥ 6x
Step 2: Simplify the equation by moving all the terms containing x to one side of the inequality.
7x - 6x + 2 ≥ 0
x + 2 ≥ 0
Step 3: Solve for x by isolating x.
x ≥ -2
So, the solution to this inequality is x ≥ -2.