# How do you solve and graph -4z+13>=29 and 10<6a-14?

Apr 13, 2018

$- 4 z + 13 \ge 29$

isolate the variable

$- 4 z \ge 29 - 13$

not that the sign changes, because we divided by a negative number

$z \le \frac{16}{-} 4$

$z \le - 4$

graph{y <= -4}

$\cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot$

$10 < 6 a - 14$

$10 + 14 < 6 a$

$\frac{24}{6} < a$

$4 < a$

graph{y < 4}