Question

Solve the inequality, then identify the graph of the solution. 2x – 1 > x + 2

Answer 1

Answer:

$\large\boxed{x>3\to x\in(3,\ \infty)}$

Step-by-step explanation:

$2x-1>x+2\qquad\text{add 1 to both sides}\\\\2x>x+3\qquad\text{subtract x from both sides}\\\\x>3$

Answer 2

Inequalities help us to compare two unequal expressions. The solution to the given inequality 2x – 1 > x + 2 is when x is greater than 3.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The solution to the given inequality can be made as shown below.

2x – 1 > x + 2

Bring the like term on the same side of the inequality,

2x – x > 1 + 2

Solving the expressions on both sides of the inequality,

2x – x > 1 + 2

x > 3

Hence, the solution to the given inequality 2x – 1 > x + 2 is when x is greater than 3.

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