# How do you solve and graph 6[5y-(3y-1)]≥4(3y-7)?

Mar 19, 2016

Inequality has infinite solution. Entire real number line (if that is the domain) is the graph for the inequality.

#### Explanation:

$6 \left(5 y - 3 y + 1\right) \ge 12 y - 28$

$30 y - 18 y + 6 \ge 12 y - 28$

$12 y - 12 y \ge - 28 - 6$

$0 y \ge - 34$

$0 \ge - 34$

As this is true for all $y$, the inequality is true for all $y$ and hence has infinite solutions.

Further, as all $y$ satisfy the inequality, entire real number line (if that is the domain) is the graph of the inequality