You may have chosen this graph because you mixed up the inequality symbols and because you do not understand what the word or means in a compound inequality. The first inequality simplifies to $\displaystyle{x}\le-{4}\usepackage{cmbright}\Huge\$ . The second inequality simplifies to $\displaystyle{x}\ge-{2}\usepackage{cmbright}\Huge\$ . This means that the solution is all values of x less than or equal to $\displaystyle-{4}\usepackage{cmbright}\Huge\$ or greater than or equal to $\displaystyle-{2}\usepackage{cmbright}\Huge\$ . The correct answer is the graph with the closed circles at $\displaystyle-{4}\usepackage{cmbright}\Huge\$ and $\displaystyle-{2}\usepackage{cmbright}\Huge\$ , the arrow going left from $\displaystyle-{4}\usepackage{cmbright}\Huge\$ , and the arrow going right from $\displaystyle-{2}\usepackage{cmbright}\Huge\$ .