Question

1. solve the inequality and graph the solution on the number line.

$x + 6 > 10$

1. choose the correct answer from the drop - down menu to complete the statement.

what is the solution of the inequality?
$9 - 4p < 25$
$p\geq -4$
(the following is the drop down menu students will have access to)
$<$
$4$
$>$
$4$
$\leq$
$-\frac{34}{4}$
$\geq$
$\frac{34}{4}$

Explanation:

Problem 4

Step1: Solve the inequality

Subtract 6 from both sides of \(x + 6>10\).
\(x+6 - 6>10 - 6\)
\(x>4\)

Step2: Graph the solution on the number line

Draw an open circle at \(x = 4\) (because \(x\) is not equal to 4) and shade to the right of 4.

Step1: Solve the inequality \(9-4p<25\)

Subtract 9 from both sides:
\(9-4p - 9<25 - 9\)
\(-4p<16\)

Step2: Divide both sides by - 4 (and reverse the inequality sign)

When we divide an inequality by a negative number, the inequality sign flips. So \(\frac{-4p}{-4}>\frac{16}{-4}\)
\(p>-4\)

Answer:

The solution of the inequality \(x + 6>10\) is \(x>4\). On the number - line, there is an open circle at 4 and the line is shaded to the right of 4.

Problem 5