Problem 29 Solve each inequality and graph ... [FREE SOLUTION]

Chapter 6: Problem 29

Solve each inequality and graph the solution set on a number line. \(\frac{x}{3}>-2\)

Short Answer

Expert verified

The solution of the inequality \(\frac{x}{3} > -2\) is \(x > -6\). This implies x can be any real number greater than -6. To graphically represent this on a number line, place an open circle at -6 and shade everything to the right of -6.

Step by step solution

Multiplying both sides by 3

The goal is to isolate x. x is currently being divided by 3, so to remove the denominator, multiply both sides of the inequality by 3. The result is: \(x > -6\).

Graphing the Solution

The solution \(x > -6\) tells that x can be any real number greater than -6. To represent this on a number line, place an open circle at -6 (since -6 is not included in the solution set) and shade everything to the right of -6.

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91影视

Solve each inequality and graph the solution set on a number line. \(\frac{x}{3}>-2\)

Short Answer

Step by step solution

Multiplying both sides by 3

Graphing the Solution

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