Example 6 - Chapter 5 Class 11 Linear Inequalities

Transcript

Example 6 Solve ﷐3𝑥 − 4﷮2﷯ ≥ ﷐𝑥 + 1﷮4﷯−1 . Show the graph of the solutions on number line. ﷐3𝑥 − 4﷮2﷯ ≥ ﷐𝑥 + 1﷮4﷯− 1 ﷐3𝑥 − 4﷮2﷯ ≥ ﷐𝑥 + 1 −(4)﷮4﷯ ﷐3𝑥 − 4﷮2﷯ ≥ ﷐𝑥 − 3﷮4﷯ 4(3x – 4) ≥ 2(x – 3) 12x – 16 ≥ 2x – 6 12x – 2x ≥ – 6 + 16 10x ≥ 10 x ≥ ﷐10﷮10﷯ x ≥ 1 The graphical representation is Here 1 is included in the shaded graph