Question

$2x - 5 > -11$ or $-10x - 6 \geq 44$
click and drag the symbols to create the graph
(number line with -10, -5, -1, 0, 1, 5, 10 marked)

Explanation:

Step1: Solve \(2x - 5 > -11\)

Add 5 to both sides: \(2x - 5 + 5 > -11 + 5\)
Simplify: \(2x > -6\)
Divide by 2: \(x > -3\)

Step2: Solve \(-10x - 6 \geq 44\)

Add 6 to both sides: \(-10x - 6 + 6 \geq 44 + 6\)
Simplify: \(-10x \geq 50\)
Divide by -10 (reverse inequality): \(x \leq -5\)

Answer:

The solution to \(2x - 5 > -11\) is \(x > -3\) (graph with open circle at -3, arrow right), and the solution to \(-10x - 6 \geq 44\) is \(x \leq -5\) (graph with closed circle at -5, arrow left).