Question

solve each inequality, graph the solution on the number line, and write the solution in interval notation
3x− 2 > 4 or 5x− 3 ≤ 7

Answer 1

Answer:

$(-\infty,+\infty)$

Step-by-step explanation:

The given inequality is 3x-2>4 or $5x-3\leq 7$

We group similar terms to obtain: 3x>4+2 or $5x\le7+3$

Simplify to get:

3x>6 or $5x\le10$

x>2 or $x\le 2$

This implies that the solution set is all real numbers.

The solution in interval notation is $(-\infty,+\infty)$