Answer:
The correct graph of the solution to the given compound inequality is:
C
Step-by-step explanation:
- The first inequality is given by:
[tex]5x-1<19[/tex]
on adding 1 on both the side of the inequality we have:
[tex]5x<20[/tex]
on dividing both side of the inequality by 5 we have:
[tex]x<\dfrac{20}{5}\\\\x<4[/tex]
The graph of this inequality is the shaded region to the left of 4 with a open circle at 4( since the inequality is strict)
- The second inequality is:
[tex]-3-x+1\leq 1\\\\-3+1-x\leq 1\\\\-2-x\leq 1\\\\-2-1\leq x\\\\x\geq -3[/tex]
The graph of this inequality is the shaded region to the right of -3 and closed circle at -3 ( since the inequality is not strict i.e. a inequality with a equality sign )
Hence, the graph of the compound inequality is the set of all the points between -3 and 4 including -3 and excluding 4.
