can someone help me here? it's asking to explain in words where the mistake in the solution of the inequality is.

The mistake occurs in the second to last line. When you divide both sides by a negative number, the inequality sign should flip.

So the answer should be x > -5 instead of x < -5.

Here's why the inequality sign flips

Let's start with the inequality -2x < 10. Add 2x to both sides and we get 0 < 10+2x which is the same as 0 < 2x+10

Then subtract 10 from both sides to end up with -10 < 2x

We can flip both sides of -10 < 2x to end up with 2x > -10. Note the inequality sign flips, as well as the left and right sides.

Afterward, we solve 2x > -10 by dividing both sides by 2 to get x > -5. The inequality sign does not flip when we divide both sides by a positive number.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

answer:

probably the same as it is today since you did not eat the corn dogs yet

step-by-step explanation: