Question

which of the following values are solutions to the inequality 4 + 6x > 2? i. −2 ii. −6 iii. −1 answer none i only ii only iii only i and ii i and iii ii and iii i, ii and iii submit answer

Explanation:

Step1: Solve the inequality

Start with \(4 + 6x>2\). Subtract 4 from both sides: \(6x>2 - 4\), so \(6x>-2\). Then divide both sides by 6: \(x>-\frac{2}{6}=-\frac{1}{3}\approx - 0.333\).

Step2: Check each value

• For I: \(x = - 2\). Since \(-2<-\frac{1}{3}\), \(-2\) is not a solution.
• For II: \(x=-6\). Since \(-6<-\frac{1}{3}\), \(-6\) is not a solution.
• For III: \(x = - 1\). Since \(-1<-\frac{1}{3}\), \(-1\) is not a solution.

Answer:

None