Linear inequality situations practice

A maximum means $x$ can be at most that value, so use $\le$. Five times $y$ plus $3$ is $5y + 3$, giving $x \le 5y + 3$.

A minimum means $w$ must be at least that value, so use $\ge$. Twice $n$ minus $12$ is $2n - 12$, giving $w \ge 2n - 12$.

A minimum means $p$ must be at least that value, so use $\ge$. Four times $k$ plus $6$ is $4k + 6$, giving $p \ge 4k + 6$.

A maximum means $h$ can be at most that value, so use $\le$. Five times $d$ minus $2$ is $5d - 2$, giving $h \le 5d - 2$.

A maximum means $c$ can be at most that value, so use $\le$. Seven times $n$ plus $15$ is $7n + 15$, giving $c \le 7n + 15$.

A minimum means $t$ must be at least that value, so use $\ge$. Twice $m$ minus $3$ is $2m - 3$, giving $t \ge 2m - 3$.

Twice $n$ is $2n$. No more than $18$ means $2n \le 18$.

A maximum means $x$ can be at most that value, so use $\le$. Four times $y$ minus $7$ is $4y - 7$, giving $x \le 4y - 7$.