Solve and graph x - 2 > -5 and x - 2 < 4 on a number line

(-3, 6)

Step-by-step explanation:

Solve x - 2 > -5 for x as follows:  Add 2 to both sides, obtaining x > -3.  To graph this, find -3 on the number line and put a circle there.  Draw a solid line from this circle towards the right.

Solve x - 2 < 4 for x as follows:  Add 2 to both sidees, obtaining x < 6.  Find 6 on the number line and put a circle there.  Draw a solid line from this circle to the left.

Notice that the two lines you've drawn overlap on the interval (-3, 6).  This is the desired solution set.

is only a line? i think so

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.