Question

1 Point

Answer 1

Answer:

The correct graph of the solution to the given compound inequality is:

                                C

Step-by-step explanation:

• The first inequality is given by:

   $5x-1$

on adding 1 on both the side of the inequality we have:

$5x$

on dividing both side of the inequality by 5 we have:

$x$

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:

        $-3-x+1\leq 1\\\\-3+1-x\leq 1\\\\-2-x\leq 1\\\\-2-1\leq x\\\\x\geq -3$

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.

Answer 2

Answer:

Option C

Step-by-step explanation:

The given inequality is

5x-1 < 19 and $-3-x+1\le1$

Group similar terms to get:

5x < 19+1 and $-x\le1-1+3$

5x < 20 and $-x\le3$

Solve for x to get:

x < 4 and  $x\ge -3$

The correct choice is C