Question

solve for ( x ) and graph the solution on the number line below.
( 11 < x + 5 )
answer attempt 1 out of 2
( < ) ( > ) ( leq ) ( geq ) or
inequality notation:
number line:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12

Explanation:

Step1: Subtract 5 from both sides

To solve the inequality \(11 < x + 5\), we subtract 5 from both sides of the inequality. This is done to isolate the variable \(x\) on one side.
\[11 - 5 < x + 5 - 5\]

Step2: Simplify both sides

Simplifying the left - hand side \(11 - 5 = 6\) and the right - hand side \(x+5 - 5=x\). So we get the inequality \(6 < x\), which can also be written as \(x>6\).

Answer:

Inequality Notation: \(x > 6\)

For the number line: We draw an open circle at 6 (because the inequality is strict, \(x\) is not equal to 6) and then draw an arrow to the right of 6 to represent all the numbers greater than 6.