Li’s family has a coupon for $49 off a stay at any hotel. They do not want to spend more than $150 in all. An inequality representing this situation is x - 49 Less-than-or-equal-to 150. Explain how you would graph this inequality. What will be included in the solution set in the context of the problem?

Answer

The solution set includes all numbers less than or equal to 199.There should be a closed circle at 199 then have an arrow pointing towards the left.Negative solutions do not make sense for the situation.

Step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.