Which system of linear inequalities is graphed?

a) {x< −2
{y≤−x−2

b) {x< −3
{y< −x−2

c) {x< −2
{y≤−x+2

d) {x≤−2
{y≤−x−3

A) {x < −2

{y ≤ −x − 2

Step-by-step explanation:

The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the rate of changes [slopes] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:

Dashed Line → >, <

Solid Line → ≥, ≤

is the vertical line with a less than sign, so it gets the dashed line, whereas the other line has a less than or equal to sign, so this line gets the solid line.

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a. 46.5 mph

b. 32.3 kph

Step-by-step explanation:

If the speed limit is 100 km/hour we and this equals 62 mile per hour we can determine how many kilometers is in miles and vice versa:

WE can do this as:

Therefore the 0.62 miles per kilometer

a) For 75 kph we can use the conversion we determine to convert to miles per hour:

It takes a speed limit of 46.5 mph for a 75 kph limit

b) For 20 mph we can use the conversion we determine to convert to kilometers per hour:

It takes a speed limit of 32.3 kph for a 20 mph limit