Rewrite the double inequality in its basic form. negative 0.43less than or equalsx minus 0.2less than or equals0.43 The double inequality in its basic form is

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Answer:

The double inequality in its basic form is

-0.23 ≤ x ≤ 0.63.

In words,

negative 0.23 less than or equals x less than or equals 0.63.

Step-by-step explanation:

negative 0.43less than or equalsx minus 0.2less than or equals0.43

Written mathematically, we have

-0.43 ≤ (x - 0.2) ≤ 0.43

In its basic form, this double inequality will have only x in the middle.

So, add +0.2 all through the 3 terms.

-0.43 ≤ (x - 0.2) ≤ 0.43

(-0.43 + 0.2) ≤ (x - 0.2 + 0.2) ≤ (0.43 + 0.2)

-0.23 ≤ x ≤ 0.63

Hence, the double inequality in its basic form is -0.23 ≤ x ≤ 0.63

Hope this Helps!!!

Answer:

[tex]-0.23\leq x \: OR\: x\leq 0.63[/tex]

Step-by-step explanation:

Given the inequality:

[tex]-0.43\leq x-0.2\leq 0.43[/tex]

First, we solve for x.

Add 0.2 to all terms of the inequality.

[tex]-0.43+0.2 \leq x-0.2+0.2\leq 0.43+0.2\\-0.23\leq x\leq 0.63[/tex]

Writing it in its basic form:

[tex]-0.23\leq x \: OR\: x\leq 0.63[/tex]