Express the interval form (-0.5, 0.5) in modulus form. - Vidyadip

Question

Express the interval form $(-0.5, 0.5)$ in modulus form.

✓

Answer

Comparing $(-0.5, 0.5)$ with $(a - δ ; a + δ)$ we get

$a - δ = -0.5$

$a + δ = 0.5$

$2a = 0$

$a = 0$

Putting $a = 0$ in $a + δ = 0.5$

$0 + δ = 0.5$

$δ = 0$

Modulus form: $|x - a| < δ$

Putting $a = 0$ and $δ = 0.5$

$(-0.5, 0.5) = |x| < 0.5$

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