Answer:
A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right
Step-by-step explanation:
we have
[tex]x-3 < -9[/tex] ----> inequality A
or
[tex]x+5 \geq 10[/tex] ----> inequality B
Solve inequality A
[tex]x < -9+3[/tex]
[tex]x < -6[/tex]
The solution of inequality A is the interval ----> (-∞, -6)
Solve inequality B
[tex]x\geq10-5[/tex]
[tex]x\geq5[/tex]
The solution of inequality B is the interval ----> [5,∞)
The solution of the compound inequality is
(-∞, -6) ∪ [5,∞)
The solution is
A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right