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# Inequalities: Simultaneous Inequalities

If \$\$3 \le x \le 21\$\$ and \$\$7 \le y \le 13\$\$, then what is the range of the possible values of \$\$x+y\$\$?
Incorrect. [[snippet]]
Correct. [[snippet]] Subtract the smallest value of \$\$x+y\$\$ (\$\$3 + 7 = 10\$\$) from the largest value of \$\$x+y\$\$ (\$\$21 + 13 = 34\$\$). Thus, the range of \$\$x+y\$\$ is \$\$34 - 10 = 24\$\$.
Incorrect. [[snippet]] This is the range of \$\$y\$\$.
Incorrect. [[snippet]] This is the range of \$\$x\$\$.
Incorrect. [[snippet]]
6
18
24
28
34