Question

What is the ansewer to 7>-2x-1

Answer 1

x > -4

Explanation:

To solve the inequality 7 > -2x - 1, begin by adding 1 to both sides of the inequality:

`\begin{aligned} 7& > -2x-1\\\\7 + 1 & > -2x - 1 + 1 \\\\ 8 & > -2x\end{aligned}`

Now, divide both sides by the coefficient of x, which is -2.

Remember that when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality sign.

`\begin{aligned}(8)/(-2) & > (-2x)/(-2)\\\\-4& < x\\\\x& > -4\end{aligned}`

So, the solution to the given inequality is:

`\Large\boxed{\boxed{x > -4}}`