Answered

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Which set of values for x makes the inequality 12−x<7 true

Sagot :

MrRoyal

Answer:

[tex]\{x:x>5\}[/tex]

Step-by-step explanation:

Given

[tex]12 - x < 7[/tex]

Required

Values of x that make it true

First: solve the inequality.

[tex]12 - x < 7[/tex]

Collect Like Terms

[tex]- x < 7-12[/tex]

[tex]- x < -5[/tex]

Multiply both sides by -1

[tex]-1 * - x < -5 * -1[/tex]

[tex]x > 5[/tex] --- The inequality changes when multiplied by a negative value

So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)

Hence, the set is:

[tex]\{x:x>5\}[/tex]

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