Question

Which number line represents the solution set for the given inequality x + 1 < (or equal to) -3 OR -4x < -8

Answer 1

we are given inequalities as

$x+1\leq -3$

Subtract both sides by 1

$x+1-1\leq -3-1$

$x\leq -4$

so, we get interval as

$(-\infty,-4]$

we have

$-4x$

we can divide both sides by -4

$\frac{-4x}{-4} >\frac{-8}{-4}$

$x >2$

so, we get interval as

$(2,\infty)$

now, we can combine them

$(-\infty,-4]$∪$(2,\infty)$

now, we can draw number line and locate this interval

we get

Answer 2

Answer:

Subtract both sides by 1

so, we get interval as

we have

we can divide both sides by -4

so, we get interval as

now, we can combine them

∪

now, we can draw number line and locate this interval

we get

Step-by-step explanation: