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Year 10 maths · A.9 · Linear Equations

Solve inequalities with x on both sides

Gather the x terms on one side. Flip the sign if you divide by a negative number.

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  1. Solve: 4x + 10 < 6x + 6. Write the answer as x < a number or x > a number.

    Answer: Sign (< or >): >; Number: 2

  2. Solve: 6x − 2 > −x + 19. Write the answer as x < a number or x > a number.

    Answer: Sign (< or >): >; Number: 3

  3. Solve: 2x − 12 < −5x − 26. Write the answer as x < a number or x > a number.

    Answer: Sign (< or >): <; Number: -2

Tip: Gather the x terms on one side. Flip the sign if you divide by a negative number.

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