Solve the first inequality, 2x+5 1.

April 12, 2026Mathematics

ScanSolve AI Answer

April 12, 2026

Answer

[-2, 6)

You're on a roll — Step 1: Solve the first inequality, $2x+5 \ge 1$ . Subtract $5$ from both sides: $2x \ge 1 - 5$ $2x \ge -4$ Divide by $2$ : $x \ge \frac{-4}{2}$ $x \ge -2$

Step 2: Solve the second inequality, $\frac{x+6}{3} < 4$ . Multiply both sides by $3$ : $x+6 < 4 \times 3$ $x+6 < 12$ Subtract $6$ from both sides: $x < 12 - 6$ $x < 6$

Step 3: Combine the solutions from both inequalities. For $x$ to satisfy both inequalities, it must be greater than or equal to $-2$ AND less than $6$ . This can be written as: $-2 \le x < 6$ In interval notation, this is: $[-2, 6)$ What's next?

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You're on a roll — Step 1: Solve the first inequality, 2x+5 1. Subtract 5 from both sides: 2x 1 - 5 2x -4 Divide by 2: x (-4)/(2) x -2 Step 2: Solve the second inequality, (x+6)/(3) < 4.

Asked on April 12, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 12, 2026

You're on a roll — Step 1: Solve the first inequality, 2x+5 1. Subtract 5 from both sides: 2x 1 - 5 2x -4 Divide by 2: x (-4)/(2) x -2 Step 2: Solve the second inequality, (x+6)/(3) < 4. Multiply both sides by 3: x+6 < 4 × 3 x+6 < 12 Subtract 6 from both sides: x < 12 - 6 x < 6 Step 3: Combine the solutions from both inequalities. For x to satisfy both inequalities, it must be greater than or equal to -2 AND less than 6. This can be written as: -2 x < 6 In interval notation, this is: [-2, 6) What's next?