T/-2 (<--this is a fraction) is less than 6

t < -12

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-2" was replaced by "/(-2)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than a sign from both sides of the inequality :

t/(-2)-(6)>0

Step by step solution :

STEP 1.

Simplify : t / -2

Equation at the end of step 1:

t

- 6 > 0

- 2

STEP 2:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -2 as the denominator :

6 6 • -2

6 = — = ——————

1 -2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

t • -1 - (6 • 2) -t - 12

———————————————— = ———————

2 2

STEP 3 :

Pulling out like terms :

3.1 Pull out like factors :

-t - 12 = -1 • (t + 12)

Equation at the end of step 3:

-t - 12

——————— > 0

2

STEP 4 :

4.1 Multiply both sides by 2

4.2 Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

t+12 < 0

Solve Basic Inequality :

4.3 Subtract 12 from both sides

t < -12

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.