Final answer:
To solve the inequality 7/10 > 4/5 + g, we compare the fractions with a common denominator and isolate variable g, which leads to the solution -1/10 > g, indicating that g must be less than -1/10.
Step-by-step explanation:
To solve the inequality 7/10 > 4/5 + g, we start by understanding that the inequality symbol is comparing two expressions and our goal is to isolate the variable g on one side.
First, we need to have a common denominator to compare the fractions 7/10 and 4/5.
Since 5 is the least common multiple of 10 and 5, we convert both fractions to have a denominator of 10, resulting in 7/10 and 8/10.
Thus the inequality becomes 7/10 > 8/10 + g. To isolate g, we subtract 8/10 from both sides of the inequality:
7/10 - 8/10 > g
This simplifies to -1/10 > g, which is the solution to the inequality. This means that g must be a value less than -1/10.