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41 votes
41 votes
Show the solution 3x+7 ≤5x-9

User Tony Heupel
by
2.8k points

2 Answers

23 votes
23 votes

1.1 Pull out like factors :

-2x + 2 = -2 • (x - 1)

2.1 Solve : -2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

2.2 Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

x = 1

User Aishwarya Shiva
by
2.8k points
8 votes
8 votes

Answer:


3x + 7 \leqslant 5x - 9 \\ 5x - 3x \leqslant 7 + 9 \\ 2x \leqslant 16 \\ x \leqslant (16)/(2) \\ \boxed{x \leqslant 8}

User Igor Camilo
by
2.9k points