Question

Please help me!Select the correct answer from the drop-down menu.This graph represents the inequality BLANK.x+2<4x+6<122x>12

Answer 1

We see that the graph represents the values of x lower than 6:

$x<6.$

Rewriting the inequalities of the problem, we have:

1)

$\begin{gathered} x+2<4, \\ x<4-2, \\ x<2. \end{gathered}$

2)

$\begin{gathered} x+6<12, \\ x<12-6, \\ x<6. \end{gathered}$

We see that this inequality is equivalent to x < 6, the inequality that represents the graph.

3)

$\begin{gathered} 2x>12, \\ x>\frac{12}{2}, \\ x>6. \end{gathered}$

Answer

We see that the inequality second inequality (x + 6 < 12) is equivalent to x < 6, the inequality that represents the graph.