Question

Explain why x = 3 makes 4x − 1 ≤ 11 true but not 4x − 1 < 11?

Answer 1

Plug it in.

\(4x - 1 \le 11\)

\(4(3) - 1 \le 11\)

Answer 2

? @iGreen

Answer 3

Multiply 4 * 3 and subtract 1

Answer 4

11 @iGreen

Answer 5

Yes, that gives us:

\(11 \le 11\)

Answer 6

so 11 will be equal or greater from 11

Answer 7

And for the other equation it would give us:

11 < 11

Answer 8

?@sjman1

Answer 9

Why is \(11 \le 11\) true and why is \(11 < 11\) not true?

Answer 10

do i put that down as my awnswer? @iGreen

Answer 11

Yeah, say \(4x - 1 \le 11\) equals \(11 \le 11\) and \(4x - 1 < 11\) equals \(11 < 11\)

So you could say the reason is because the first one has a less than OR EQUAL TO sign, and 11 is equal to 11, but the other one only has a less than sign and 11 isn't less than 11.

Answer 12

thanks! :) @igr