Question

solve and graph the following inequality: 2 - x < 3 provide an answer accurate to the nearest tenth. inequality: x > -1 graph: number line options with a number line (arrow left and right, marked at -1) and options: left/right open circles, left/right closed circles

Explanation:

Step1: Solve the inequality \(2 - x < 3\)

Subtract 2 from both sides: \(2 - x - 2 < 3 - 2\)
Simplify: \(-x < 1\)

Step2: Multiply both sides by -1 (reverse inequality)

\((-1)(-x) > (-1)(1)\)
Simplify: \(x > -1\)

Step3: Graph the inequality \(x > -1\)

• Draw a number line.
• Place an open circle at -1 (since \(x > -1\) does not include -1).
• Shade the region to the right of -1 (indicating all values greater than -1).

Answer:

Inequality: \(x > -1.0\) (to the nearest tenth)
Graph: Open circle at -1, shaded to the right.