Question

solve and graph the following inequality: 2 - x < 3 provide an answer accurate to the nearest tenth. inequality: text box graph: number line options

Explanation:

Step1: Subtract 2 from both sides

To isolate the term with \( x \), we subtract 2 from both sides of the inequality \( 2 - x < 3 \). This gives us \( 2 - x - 2 < 3 - 2 \), which simplifies to \( -x < 1 \).

Step2: Multiply by -1 (reverse inequality)

When we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. Multiplying both sides of \( -x < 1 \) by -1 gives \( x > - 1.0 \) (since we need to be accurate to the nearest tenth, and -1 is already to the nearest tenth).

Answer:

\( x > -1.0 \)

For the graph: On a number line, we draw an open circle at -1.0 (because the inequality is "greater than" and not "greater than or equal to") and shade the region to the right of -1.0 to represent all values of \( x \) that satisfy the inequality.