Question

X+3/6>x4+1
. Which value of x
is a solution to the inequality?

Answer 1

The solution to the inequality
`\((x+3)/(6) > (x)/(4) + 1\) is \(x = -10\)`, as it satisfies the inequality. Option a is the correct choice.

To find which values of x satisfy the inequality
`\((x+3)/(6) > (x)/(4) + 1\)`, we can follow these steps:

1. Multiply both sides of the inequality by 24 (the least common multiple of 6 and 4) to eliminate fractions:

4(x+3) > 6x + 24

2. Distribute 4 on the left side:

4x + 12 > 6x + 24

3. Subtract 4x from both sides:

12 > 2x + 24

4. Subtract 24 from both sides:

-12 > 2x

5. Divide both sides by 2:

-6 > x

So, any value of x less than -6 is a solution to the inequality. Among the given options, x = -10 satisfies the inequality. Therefore, x = -10 is a solution. Option a is the correct choice.

Que. Consider the inequality (x+3)/(6)>(x)/(4)+1. Which value of x is a solution to the inequality? x=-10 x=-6 x=6 x=10