## Calculus (3rd Edition)

(-$\infty$, -7/2) U (-1/2,$\infty$)
1.) Set what the inequality equals to what it originally equals, and then set it to the opposite of that number with the opposite inequality sign 2x+4$\gt$3 and 2x+4$\lt$-3 2.) Solve the first inequality for x by subtracting 4 and dividing by 2 to both sides 2x+4$\gt$3 -4 -4 2x$\gt$-1 $\div$2 $\div$2 x$\gt$-1/2 3.) Identify the interval of x values the inequality is identifying x$\gt$-1/2 = (-1/2,$\infty$) 4.) Solve the second inequality for x by subtracting 4 and dividing by 2 to both sides 2x+4$\lt$-3 -4 -4 2x$\lt$-7 $\div$2 $\div$2 x$\lt$-7/2 5.) Identify the interval of x values the inequality is identifying x$\lt$-7/2 = (-$\infty$, -7/2) 6.)Combine the two intervals using a union. (-$\infty$, -7/2) U (-1/2,$\infty$)