Explanation

PTC stands for Primary Teaching Certificate.

It is a qualification for teaching at the primary school level.

It is typically awarded after completing training to teach in primary schools.

Explanation

Iron rusts when it reacts with oxygen and water in the air, forming iron hydroxide (Fe(OH)₃).

This compound eventually dehydrates to form iron oxide, the reddish-brown rust.

Explanation

1 is not a prime because a prime number has exactly two distinct positive divisors (1 and itself), and 1 only has one.

1 is not composite because a composite number has more than two factors.

Explanation

Given x < 0 and y < z:

When multiplying both sides of y < z by x, the inequality sign flips because x is negative:

xy > xz

Explanation

Total = 0.98 + 45.102 + 32.3333 + 31 + 0.00009 = 109.41539

Explanation

Given xy = 1 and x > 0:

y = 1/x

We want to minimize x + y = x + 1/x.

Let's find the minimum value:

Let f(x) = x + 1/x

f'(x) = 1 - 1/x² = 0 for minimum

x² = 1

x = 1 (since x > 0)

f(1) = 1 + 1/1 = 2

The minimum value of x + y is 2.

Explanation

Evaluation is a key component of curriculum as it assesses the effectiveness of teaching and learning.

It helps in determining whether educational goals and objectives are being met.

Explanation

"Condone" means to overlook or accept something wrong.

The sentence correctly reads: "He does not condone anti-social habits."

Explanation

Polio primarily affects the nervous system and can cause muscle weakness or paralysis.

It often targets children and may lead to permanent disability.

Explanation

Sets that have the same number of elements (cardinality) are called equivalent sets.

They may have different elements but the same total count.